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53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) (102 articles)

• Di Pinto, Dario; Lotta, Antonio: A Frankel type theorem for CR submanifolds of Sasakian manifolds. (English). Archivum Mathematicum, vol. 59 (2023), issue 5, pp. 369-381
• Karmakar, Payel: Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 419-434
• Zhang, Shaoxiang; Chen, Huibin: New Einstein metrics on ${\rm Sp}(n)$ which are non-naturally reductive. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 2, pp. 349-363
• Baird, Paul; Ventura, Jade: Four-dimensional Einstein metrics from biconformal deformations. (English). Archivum Mathematicum, vol. 57 (2021), issue 5, pp. 255-283
• Chrysikos, Ioannis: A note on the volume of $\nabla $-Einstein manifolds with skew-torsion. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 385-393
• Abbassi, Mohamed Tahar Kadaoui; Amri, Noura: On $g$-natural conformal vector fields on unit tangent bundles. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 75-109
• Abbassi, Mohamed Tahar Kadaoui; Lakrini, Ibrahim: On the completeness of total spaces of horizontally conformal submersions. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 493-504
• Dey, Dibakar; Majhi, Pradip: Some type of semisymmetry on two classes of almost Kenmotsu manifolds. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 457-471
• Haji-Badali, Ali; Zaeim, Amirhesam: Semi-symmetric four dimensional neutral Lie groups. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 393-410
• Perktaş, Selcen Y.; Acet, Bilal E.; Blaga, Adara M.: A short note on $f$-biharmonic hypersurfaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 1, pp. 119-126
• Hui, Shyamal K.; Lemence, Richard S.; Mandal, Pradip: Wintgen inequalities on Legendrian submanifolds of generalized Sasakian-space-forms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 1, pp. 105-117
• Xu, Na; Tan, Ju: Invariant harmonic unit vector fields on the oscillator groups. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 907-924
• Jin, Dae Ho; Lee, Jae Won: Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature. (English). Communications in Mathematics, vol. 27 (2019), issue 1, pp. 1-12
• Ingalahalli, Gurupadavva; Bagewadi, C.S.: A Study on $\phi $-recurrence $\tau $-curvature tensor in $(k,\mu )$-contact metric manifolds. (English). Communications in Mathematics, vol. 26 (2018), issue 2, pp. 127-136
• Sagerschnig, Katja; Willse, Travis: The almost Einstein operator for $(2, 3, 5)$ distributions. (English). Archivum Mathematicum, vol. 53 (2017), issue 5, pp. 347-370
• Euh, Yunhee; Park, Jeong Hyeong; Sekigawa, Kouei: A curvature identity on a 6-dimensional Riemannian manifold and its applications. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 253-270
• Wang, Yaning: Minimal Reeb vector fields on almost Kenmotsu manifolds. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 73-86
• Bennouar, Abdelmadjid; Ouakkas, Seddik: Some constructions of biharmonic maps on the warped product manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 4, pp. 481-500
• Pan’Zhenskii, Vladimir Ivanovich; Surina, Olga Petrovna: Automorphisms of Spacetime Manifold with Torsion. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 87-94
• Pahan, Sampa; Pal, Buddhadev; BHATTACHARYYA, Arindam: Characterization on Mixed Generalized Quasi-Einstein Manifold. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 143-155
• Ghosh, Amalendu: Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures. (English). Mathematica Bohemica, vol. 141 (2016), issue 3, pp. 315-325
• Dutta, Tamalika; Basu, Nirabhra; BHATTACHARYYA, Arindam: Conformal Ricci Soliton in Lorentzian $\alpha $-Sasakian Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 57-70
• Hui, Shyamal Kumar; Chakraborty, Debabrata: $\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 101-109
• Mallick, Sahanous; De, Uday Chand: On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 111-127
• Ghosh, Gopal; De, Uday Chand: On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 87-99
• Baishya, Kanak Kanti; Chowdhury, Partha Roy; Mikeš, Josef; Peška, Patrik: On Almost Generalized Weakly Symmetric Kenmotsu Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 5-15
• Abedi, Esmaeil; Ziabari, Reyhane Bahrami; Tripathi, Mukut Mani: Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form. (English). Archivum Mathematicum, vol. 52 (2016), issue 2, pp. 113-130
• DEY, Santu; Pal, Buddhadev; BHATTACHARYYA, Arindam: Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 41-55
• McLellan, B.D.K.: Abelian analytic torsion and symplectic volume. (English). Archivum Mathematicum, vol. 51 (2015), issue 3, pp. 175-187
• Arias-Marco, Teresa; Kowalski, Oldřich: Classification of $4$-dimensional homogeneous weakly Einstein manifolds. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 21-59
• Dušek, Zdeněk: Singer-Thorpe bases for special Einstein curvature tensors in dimension 4. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 4, pp. 1101-1115
• DEY, Santu; BHATTACHARYYA, Arindam: Some Properties of Lorentzian $\alpha $-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 2, pp. 21-40
• De, Uday Chand; Pal, Prajjwal: On Almost Pseudo-Z-symmetric Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 1, pp. 25-43
• Guediri, Mohammed; Bin-Asfour, Mona: Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups. (English). Archivum Mathematicum, vol. 50 (2014), issue 3, pp. 171-192
• Călin, Constantin; Crasmareanu, Mircea: Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 4, pp. 945-960
• Friedrich, Thomas: Cocalibrated $G_2$-manifolds with Ricci flat characteristic connection. (English). Communications in Mathematics, vol. 21 (2013), issue 1, pp. 1-13
• Stepanov, Sergey E.; Tsyganok, Irina I.; Mikeš, Josef: From infinitesimal harmonic transformations to Ricci solitons. (English). Mathematica Bohemica, vol. 138 (2013), issue 1, pp. 25-36
• Atçeken, Mehmet; Kumar Hui, Shyamal: Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 177-190
• Abbassi, M. T. K.; Calvaruso, G.: $g$-natural metrics of constant curvature on unit tangent sphere bundles. (English). Archivum Mathematicum, vol. 48 (2012), issue 2, pp. 81-95
• Wu, Faen; Zhao, Xinnuan: A new variational characterization of compact conformally flat 4-manifolds. (English). Communications in Mathematics, vol. 20 (2012), issue 2, pp. 71-77
• Chand De, Uday; De, Avik: On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 4, pp. 1055-1072
• Hui, Shyamal Kumar: On weakly $\phi $-symmetric Kenmotsu Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 1, pp. 43-50
• De, Uday Chand; Mallick, Sahanous: On the existence of generalized quasi-Einstein manifolds. (English). Archivum Mathematicum, vol. 47 (2011), issue 4, pp. 279-291
• Hui, Shyamal Kumar: On Weakly $W_3$-Symmetric Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 1, pp. 53-71
• Calvaruso, Giovanni: Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 119-134
• López, Julio; Ramírez C., Héctor: On the central paths and Cauchy trajectories in semidefinite programming. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 524-535
• Arias-Marco, Teresa: Constant Jacobi osculating rank of $\mathbf{U(3)/(U(1) \times U(1) \times U(1))}$. (English). Archivum Mathematicum, vol. 45 (2009), issue 4, pp. 241-254
• Ruiz, Juan Miguel: On metrics of positive Ricci curvature conformal to $M\times \mathbf{R}^m$. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 105-113
• Kon, Mayuko: A characterization of totally $\eta$-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1279-1287
• Arias-Marco, Teresa; Kowalski, Oldřich: Classification of 4-dimensional homogeneous D'Atri spaces. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 203-239
• Lê, Hông-Van; Panák, Martin; Vanžura, Jiří: Manifolds admitting stable forms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 1, pp. 101-117
• Kowalski, Oldřich; Sekizawa, Masami: On Riemannian geometry of tangent sphere bundles with arbitrary constant radius. (English). Archivum Mathematicum, vol. 44 (2008), issue 5, pp. 391-401
• Gover, Rod A.; Šilhan, Josef: Commuting linear operators and algebraic decompositions. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 373-387
• Arias-Marco, Teresa: A property of Wallach's flag manifolds. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 307-319
• Kim, Jaeman: 4-dimensional anti-Kähler manifolds and Weyl curvature. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 267-271
• Lindström, Ulf: A brief review of supersymmetric non-linear sigma models and generalized complex geometry. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 307-318
• Calvaruso, G.: Conformally flat pseudo-symmetric spaces of constant type. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 649-657
• Munteanu, Marian-Ioan: New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds. (English). Archivum Mathematicum, vol. 42 (2006), issue 1, pp. 69-84
• Magden, A.; Salimov, A. A.: On applications of the Yano–Ako operator. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 135-141
• Biquard, Olivier; Mazzeo, Rafe: Parabolic geometries as conformal infinities of Einstein metrics. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 85-104
• Agricola, Ilka: The Srní lectures on non-integrable geometries with torsion. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 5-84
• Calvaruso, Giovanni: Conformally flat semi-symmetric spaces. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 27-36
• Minčić, Svetislav M.; Velimirović, Ljubica S.: Infinitesimal bending of a subspace of a space with non-symmetric basic tensor. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 115-130
• Leitner, Felipe: Conformal Killing forms with normalisation condition. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 24th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2005. pp. [279]-292
• Boyer, Charles P.; Galicki, Krzysztof: Sasakian geometry, hypersurface singularities, and Einstein metrics. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 24th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2005. pp. [57]-87
• Lotta, Antonio; Pastore, Anna Maria: The Tanaka-Webster connection for almost $\mathcal{S}$-manifolds and Cartan geometry. (English). Archivum Mathematicum, vol. 40 (2004), issue 1, pp. 47-61
• Lumiste, Ülo: Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 707-734
• Lumiste, Ülo: Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 243-260
• Mikeš, Josef; Rachůnek, Lukáš: $T$-semisymmetric spaces and concircular vector fields. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [187]-193
• Crâşmăreanu, Mircea: Trace decomposition and recurrency. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 43-46
• Boeckx, E.; Vanhecke, L.: Unit tangent sphere bundles with constant scalar curvature. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 3, pp. 523-544
• Bělohlávková, Jana; Mikeš, Josef; Pokorná, Olga: On 4-planar mapping of special almost antiquaternionic spaces. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 20th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2001. pp. 97-103
• Eastwood, Michael: Impossible Einstein-Weyl geometries. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 17-22
• Kowalski, Oldřich; Vlášek, Zdeněk: On special Riemannian $3$-manifolds with distinct constant Ricci eigenvalues. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 45-66
• Buchholz, Volker: Spinor equations in Weyl geometry. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 63-73
• Graham, Robin C.: Volume and area renormalizations for conformally compact Einstein metrics. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 31-42
• Cabrera, Francisco Martín: Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 545-563
• Watanabe, Yoshiyuki; Mori, Hiroshi: From Sasakian 3-structures to quaternionic geometry. (English). Archivum Mathematicum, vol. 34 (1998), issue 3, pp. 379-386
• Swann, Andrew: Some remarks on quaternion-Hermitian manifolds. (English). Archivum Mathematicum, vol. 33 (1997), issue 3, pp. 349-354
• González-Dávila, J. C.; González-Dávila, M. C.; Vanhecke, L.: Transversally symmetric immersions. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 273-294
• Kowalski, Oldřich: An explicit classification of 3-dimensional Riemannian spaces satisfying $R(X,Y) \cdot R = 0$. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 3, pp. 427-474
• Arvanitoyeorgos, Andreas: Homogeneous Einstein metrics on Stiefel manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 627-634
• Kowalski, Oldřich; Sekizawa, Masami: Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 137-145
• Nikonorov, Yurii G.; Rodionov, Eugene D.: Standard homogeneous Einstein manifolds and Diophantine equations. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 123-136
• Cho, Jong Taek: A contact metric manifold satisfying a certain curvature condition. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 319-333
• Boeckx, Eric: Semi-symmetric $\frak P$-spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 565-573
• Gadea, P. M.; Amilibia, A. Montesinos: Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 741-756
• Papantoniou, Basil J.: Contact manifolds, harmonic curvature tensor and $(k,\mu )$-nullity distribution. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 323-334
• Boeckx, E.: Einstein-like semi-symmetric spaces. (English). Archivum Mathematicum, vol. 29 (1993), issue 2, pp. 235-240
• Kowalski, Oldřich: Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 451-457
• Defever, Filip; Deszcz, Ryszard: On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 27-34
• Bueken, P.; Vanhecke, Lieven: Reflections with respect to submanifolds in contact geometry. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 43-57
• Pokorná, Olga: Spinor fields on Riemannian manifolds. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1994. pp. [201]-205
• Rodionov, E. D.: On a new family of homogeneous Einstein manifolds. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 199-204
• Kôzaki, Masanori: On mean value theorems for small geodesic spheres in Riemannian manifolds. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 519-547
• Rodionov, E. D.: Einstein metrics on a class of five-dimensional homogeneous spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 389-393
• Rodionov, E. D.: Some examples of homogeneous Einstein manifolds. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [153]-155
• Formella, Stanisław: Generalized Einstein manifolds. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1990. pp. [49]-58
• Tralle, Aleksej: On 3-symmetric Riemannian spaces of solvable type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 803-810
• Kôzaki, Masanori; Sumi, Hidekichi: On normal forms of Laplacian and its iterations in harmonic spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 795-802
• Gindikin, S. G.: Komplexní vesmír Rogera Penrose. (Czech) [The complex universe of Roger Penrose]. Pokroky matematiky, fyziky a astronomie, vol. 31 (1986), issue 2, pp. 83-95
• Švec, Alois: Two applications of an integral formula. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 17 (1978), issue 1, pp. 5-12