• DML-CZ Home

53C30 Homogeneous manifolds (88 articles)

• 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
• Parhizkar, M.; Salimi Moghaddam, H.R.: Naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces. (English). Archivum Mathematicum, vol. 57 (2021), issue 1, pp. 1-11
• Nasehi, Mehri: On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension. (English). Archivum Mathematicum, vol. 57 (2021), issue 2, pp. 101-111
• Dušek, Zdeněk: Geodesic graphs in Randers g.o. spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 2, pp. 195-211
• Fontanals, Cristina Draper: Homogeneous Einstein manifolds based on symplectic triple systems. (English). Communications in Mathematics, vol. 28 (2020), issue 2, pp. 139-154
• Nasehi, Mehri: On the geometrical properties of Heisenberg groups. (English). Archivum Mathematicum, vol. 56 (2020), issue 1, pp. 11-19
• Elduque, Alberto: Reductive homogeneous spaces and nonassociative algebras. (English). Communications in Mathematics, vol. 28 (2020), issue 2, pp. 199-229
• Haji-Badali, Ali; Zaeim, Amirhesam: Semi-symmetric four dimensional neutral Lie groups. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 393-410
• Dušek, Zdeněk: Structure of geodesics in weakly symmetric Finsler metrics on H-type groups. (English). Archivum Mathematicum, vol. 56 (2020), issue 5, pp. 265-275
• Senoussi, Bendehiba; Al-Zoubi, Hassan: Translation surfaces of finite type in ${\rm Sol}_{3}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 2, pp. 237-256
• Bokan, Neda; Šukilović, Tijana; Vukmirović, Srdjan: Geodesically equivalent metrics on homogenous spaces. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 945-954
• Dušek, Zdeněk: Homogeneous Randers spaces admitting just two homogeneous geodesics. (English). Archivum Mathematicum, vol. 55 (2019), issue 5, pp. 281-288
• Zhang, Bo; Chen, Zhiqi; Deng, Shaoqiang: Pseudo-Riemannian weakly symmetric manifolds of low dimension. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 811-835
• Dušek, Zdeněk: The affine approach to homogeneous geodesics in homogeneous Finsler spaces. (English). Archivum Mathematicum, vol. 54 (2018), issue 5, pp. 257-263
• Nasehi, Mehri; Aghasi, Mansour: On the geometry of some solvable extensions of the Heisenberg group. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 3, pp. 723-740
• Gregorovič, Jan; Zalabová, Lenka: A construction of non-flat non-homogeneous symmetric parabolic geometries. (English). Archivum Mathematicum, vol. 52 (2016), issue 5, pp. 291-302
• Nasehi, Mehri: Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 547-559
• Nasehi, Mehri: Parallel and totally geodesic hypersurfaces of solvable Lie groups. (English). Archivum Mathematicum, vol. 52 (2016), issue 4, pp. 221-231
• Holíková, Marie; Křižka, Libor; Somberg, Petr: Projective structure, $\widetilde{\operatorname{SL}}(3,\mathbb{R})$ and the symplectic Dirac operator. (English). Archivum Mathematicum, vol. 52 (2016), issue 5, pp. 313-324
• 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
• Rodríguez Valencia, Edwin Alejandro: Invariants of complex structures on nilmanifolds. (English). Archivum Mathematicum, vol. 51 (2015), issue 1, pp. 27-50
• Kasuya, Hisashi: Lefschetz coincidence numbers of solvmanifolds with Mostow conditions. (English). Archivum Mathematicum, vol. 50 (2014), issue 1, pp. 27-37
• Piu, Paola; Remm, Elisabeth: Riemannian symmetries in flag manifolds. (English). Archivum Mathematicum, vol. 48 (2012), issue 5, pp. 387-398
• Dušek, Zdeněk; Kowalski, Oldřich; Vlášek, Zdeněk: Homogeneous Geodesics in 3-dimensional Homogeneous Affine Manifolds. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 1, pp. 29-42
• 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
• 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
• Landsberg, Joseph M.: Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties. (English). Archivum Mathematicum, vol. 44 (2008), issue 5, pp. 419-447
• 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
• Hammerl, Matthias: Homogeneous Cartan geometries. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 431-442
• Arias-Marco, Teresa: A property of Wallach's flag manifolds. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 307-319
• Dušek, Zdeněk; Kowalski, Oldřich: Geodesic graphs on special 7-dimensional g.o. manifolds. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 213-227
• Sagerschnig, Katja: Split octonions and generic rank two distributions in dimension five. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 329-339
• Gilkey, P.; Nikčević, S.: Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [99]-110
• Sagerschnig, Katja: Parabolic geometries determined by filtrations of the tangent bundle. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [175]-181
• Doubrov, Boris: Projective reparametrization of homogeneous curves. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 129-133
• Čap, Andreas: Two constructions with parabolic geometries. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [11]-37
• Eastwood, Michael; Slovák, Jan: Preferred parameterisations on homogeneous curves. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 4, pp. 597-606
• Kowalski, Oldřich; Vlášek, Zdeněk: On the local moduli space of locally homogeneous affine connections in plane domains. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 2, pp. 229-234
• Burstall, Francis E.; Calderbank, David M. J.: Submanifold geometry in generalized flag manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [13]-41
• Cordero, Luis A.; Fernández, Marisa; Ugarte, Luis: Abelian complex structures on 6-dimensional compact nilmanifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 215-229
• Rodionov, Eugene D.; Slavskii, Viktor V.: Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 271-282
• Kobayashi, Toshiyuki: Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. (English). In: Bureš, Jarolím (ed.): Proceedings of the 22nd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2003. pp. [15]-40
• Tsukada, Kazumi: Curvature homogeneous spaces whose curvature tensors have large symmetries. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 283-297
• Marinosci, Rosa Anna: Homogeneous geodesics in a three-dimensional Lie group. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 261-270
• Alekseevsky, Dmitri; Arvanitoyeorgos, Andreas: Metrics with homogeneous geodesics on flag manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 189-199
• Boeckx, E.; González-Dávila, J. C.; Vanhecke, L.: Stability of the geodesic flow for the energy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 201-213
• Krump, Lukáš: Construction of BGG sequences for AHS structures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 31-52
• Reimann, H. M.: Equivariant differential operators. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [37]-59
• Dušek, Zdeněk: Explicit geodesic graphs on some H-type groups. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [77]-88
• Sharpe, Richard: An introduction to Cartan Geometries. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [61]-75
• Calvaruso, G.; Marinosci, R. A.; Perrone, D.: Three-dimensional curvature homogeneous hypersurfaces. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 269-278
• Kiyota, Yuki; Tsukada, Kazumi: Curvature tensors and Singer invariants of four-dimensional homogeneous spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 723-733
• Gasparini, Ida Cattaneo: Geometric properties of a sequence of standard minimal immersions between spheres. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 401-414
• 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
• Console, Sergio; Nicolodi, Lorenzo: Infinitesimal characterization of almost Hermitian homogeneous spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 713-721
• 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
• Gover, Rod A.: Aspects of parabolic invariant theory. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 25-47
• Alekseevsky, D. V.: Isotropy representation of flag manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [13]-24
• González-Dávila, J. C.; González-Dávila, M. C.; Vanhecke, L.: Transversally symmetric immersions. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 273-294
• Arvanitoyeorgos, Andreas: Correction to the paper: Homogeneous Einstein metrics on Stiefel manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 873
• Arvanitoyeorgos, Andreas: Homogeneous Einstein metrics on Stiefel manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 627-634
• Nikonorov, Yurii G.; Rodionov, Eugene D.: Standard homogeneous Einstein manifolds and Diophantine equations. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 123-136
• Čap, Andreas: Translation of natural operators on manifolds with AHS-structures. (English). Archivum Mathematicum, vol. 32 (1996), issue 4, pp. 249-266
• Cordero, Luis A.; Parker, Phillip E.: Examples of sectional curvature with prescribed symmetry on $3$-manifolds. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 7-20
• Eastwood, Michael: Notes on conformal differential geometry. (English). In: Slovák, Jan (ed.): Proceedings of the 15th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [57]-76
• Kowalski, Oldřich; Prüfer, Friedbert: Curvature tensors in dimension four which do not belong to any curvature homogeneous space. (English). Archivum Mathematicum, vol. 30 (1994), issue 1, pp. 45-57
• Ermolitski, A. A.: Riemannian regular $\sigma$-manifolds. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 1, pp. 57-66
• Kowalski, Oldřich: Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 451-457
• Sekigawa, Kouei; Suga, Hiroshi; Vanhecke, Lieven: Four-dimensional curvature homogeneous spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 261-268
• Rodionov, E. D.: On a new family of homogeneous Einstein manifolds. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 199-204
• 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
• Neeb, Karl-Hermann: Ordered symmetric spaces. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [21]-26
• 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
• Gancarzewicz, Jacek; Salgado, Modesto: The tangent bundle of $p^r$-velocities over a homogeneous space. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 4, pp. 570-591
• García, A.; Jiménez, J. A.; Sánchez, C. U.: Higher order geodesic symmetries. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [163]-170
• Kowalski, Oldřich: A note to a theorem by K. Sekigawa. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 1, pp. 85-88
• Tralle, Aleksej: On 3-symmetric Riemannian spaces of solvable type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 803-810
• Kozma, László: On sprays and connections. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1990. pp. [113]-116
• Marinosci, Rosa Anna: A unified approach to some theorems on homogeneous Riemannian and affine spaces. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 151-156
• Sekizawa, Masami: On complete lifts of reductive homogeneous spaces and generalized symmetric spaces. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 4, pp. 516-534
• Tvarožek, Jozef: Amalgamations of homogeneous Riemannian spaces. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 4, pp. 355-371
• Božek, Miloš: Existence of generalized symmetric Riemannian spaces with solvable isometry group. (English). Časopis pro pěstování matematiky, vol. 105 (1980), issue 4, pp. 368-384
• Karger, Adolf: Kinematic geometry of regular motions in homogeneous space. (English). Czechoslovak Mathematical Journal, vol. 28 (1978), issue 2, pp. 327-338
• Kolář, Ivan: On the invariant method in differential geometry of submanifolds. (English). Czechoslovak Mathematical Journal, vol. 27 (1977), issue 1, pp. 96-113
• Wintgen, Peter: Untermannigfaltigkeiten reduktiver Räume. (German) [Submanifolds of reductive spaces]. Czechoslovak Mathematical Journal, vol. 25 (1975), issue 4, pp. 586-606
• Kowalski, Oldřich: Generalized pointwise symmetric spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 3, pp. 459-467
• Kowalski, Oldřich: Generalized symmetric spaces (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 2, pp. 361-375
• Kowalski, Oldřich: Vector bundles as an instrument of the metric and conformal differential geometry (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 3, pp. 627-632