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53A55 Differential invariants (local theory), geometric objects (95 articles)

• Kobayashi, Shimpei; Sasaki, Takeshi: General-affine invariants of plane curves and space curves. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 1, pp. 67-104
• Slovák, Jan: Remark on bilinear operations on tensor fields. (English). Archivum Mathematicum, vol. 56 (2020), issue 5, pp. 301-305
• 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
• Pravda, Vojtěch: Algebraic classification of the Weyl tensor: selected applications. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 214-223
• Tuček, Vít: Yamabe operator via BGG sequences. (English). Archivum Mathematicum, vol. 48 (2012), issue 5, pp. 411-422
• Crampin, Mike: Homogeneous systems of higher-order ordinary differential equations. (English). Communications in Mathematics, vol. 18 (2010), issue 1, pp. 37-50
• Misiak, Aleksander; Stasiak, Eugeniusz: $G$-space of isotropic directions and $G$-spaces of $ \varphi $-scalars with $G=O( n,1,\mathbb R) $. (English). Mathematica Bohemica, vol. 133 (2008), issue 3, pp. 289-298
• Petrović-Torgašev, Miroslava; Verstraelen, Leopold: On Deszcz symmetries of Wintgen ideal submanifolds. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 57-67
• Gover, Rod A.; Šilhan, Josef: Commuting linear operators and algebraic decompositions. (English). Archivum Mathematicum, vol. 43 (2007), issue 5, pp. 373-387
• Glanc, Barbara; Misiak, Aleksander; Szmuksta-Zawadzka, Maria: Equivariant mappings from vector product into $ G$-spaces of $\varphi $-scalars with $G=O\left( n,1,\mathbb{R}\right) $. (English). Mathematica Bohemica, vol. 132 (2007), issue 3, pp. 325-332
• Heydari, A.; Boroojerdian, N.; Peyghan, E.: A description of derivations of the algebra of symmetric tensors. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 175-184
• Glanc, Barbara; Misiak, Aleksander; Stepień, Zofia: Equivariant mappings from vector product into $G$-space of vectors and $\varepsilon $-vectors with $G=O(n,1,\mathbb{R})$. (English). Mathematica Bohemica, vol. 130 (2005), issue 3, pp. 265-275
• Dębecki, Jacek: Linear liftings of skew-symmetric tensor fields to Weil bundles. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 3, pp. 809-816
• Abbassi, Mohamed Tahar Kadaoui; Sarih, Maâti: On natural metrics on tangent bundles of Riemannian manifolds. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 71-92
• Kureš, Miroslav; Mikulski, Włodzimierz M.: Natural operators lifting vector fields to bundles of Weil contact elements. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 855-867
• Abbassi, Mohamed Tahar Kadaoui: Note on the classification theorems of $g$-natural metrics on the tangent bundle of a Riemannian manifold $(M,g)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 4, pp. 591-596
• Kolář, Ivan; Mikulski, Włodzimierz M.: Contact elements on fibered manifolds. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 1017-1030
• Panák, Martin: Natural operators in the view of Cartan geometries. (English). Archivum Mathematicum, vol. 39 (2003), issue 1, pp. 57-75
• Krump, Lukáš: Construction of BGG sequences for AHS structures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 31-52
• Misiak, Aleksander; Stasiak, Eugeniusz: Equivariant maps between certain $G$-spaces with $G=O( n-1,1)$. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 555-560
• Mikulski, Włodzimierz M.: The natural affinors on $(J^r T^{*,a})^*$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 179-184
• Mikulski, Włodzimierz M.: Natural affinors on $(J^{r,s,q}(.,\Bbb R^{1,1})_0)^*$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 4, pp. 655-663
• Crâşmăreanu, Mircea: Particular trace decompositions and applications of trace decomposition to almost projective invariants. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 631-637
• Plechšmíd, Martin: Structure of the kernel of higher spin Dirac operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 4, pp. 665-680
• Crâşmăreanu, Mircea: Trace decomposition and recurrency. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 43-46
• Doupovec, Miroslav; Vondra, Alexandr: Invariant subspaces in higher order jet prolongations of a fibred manifold. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 209-220
• Mikulski, Włodzimierz M.: The natural affinors on $(J^rT^*)^*$. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 261-267
• Mikulski, Włodzimierz M.: The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 255-260
• Mikulski, Włodzimierz M.: The natural operators lifting vector fields to generalized higher order tangent bundles. (English). Archivum Mathematicum, vol. 36 (2000), issue 3, pp. 207-212
• Dębecki, Jacek: The natural operators transforming affinors to tensor fields of type $(3,3)$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 37-49
• Mikulski, Włodzimierz M.: The natural transformations $TT^{(r)}\to TT^{(r)}$. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 71-75
• Chao, Dao Qui; Krupka, Demeter: 3rd order differential invariants of coframes. (English). Mathematica Slovaca, vol. 49 (1999), issue 5, pp. 563-576
• Krupka, Michal: Natural operators on frame bundles. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 121-129
• Tomáš, Jiří: On quasijet bundles. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 19th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2000. pp. 187-196
• Krupka, Michal: Anti-holonomic jets and the Lie bracket. (English). Archivum Mathematicum, vol. 34 (1998), issue 2, pp. 311-319
• Ortaçgil, Ercüment: Classical differential geometry with Christoffel symbols of Ehresmann $\varepsilon $-connections. (English). Archivum Mathematicum, vol. 34 (1998), issue 2, pp. 229-237
• Villarroel, Yuli: Higher order contact of real curves in a real hyperquadric. II. (English). Archivum Mathematicum, vol. 34 (1998), issue 3, pp. 361-377
• Mikulski, W. M.: Natural affinors on $r$-jet prolongation of the tangent bundle. (English). Archivum Mathematicum, vol. 34 (1998), issue 2, pp. 321-328
• Mikulski, W. M.: Natural operators lifting functions to bundle functors on fibered manifolds. (English). Archivum Mathematicum, vol. 34 (1998), issue 3, pp. 387-391
• Doupovec, Miroslav; Kurek, Jan: Liftings of 1-forms to some non product preserving bundles. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [25]-32
• Tomáš, Jiří: Natural operators on vector fields on the cotangent bundles of the bundles of $(k,r)$-velocities. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [113]-124
• Slovák, Jan: Principal prolongations and geometries modeled on homogeneous spaces. (English). Archivum Mathematicum, vol. 32 (1996), issue 4, pp. 325-342
• Mikulski, W. M.: Liftings of $1$-forms to the linear $r$-tangent bundle. (English). Archivum Mathematicum, vol. 31 (1995), issue 2, pp. 97-111
• Doupovec, Miroslav; Kurek, Jan: Liftings of covariant $(0,2)$-tensor fields to the bundle of $K$-dimensional $1$-velocities. (English). In: Slovák, Jan (ed.): Proceedings of the 15th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [111]-121
• Mikulski, W. M.: Natural functions on $T\sp *T\sp {(r)}$ and $T\sp *T\sp {r\ast}$. (English). Archivum Mathematicum, vol. 31 (1995), issue 1, pp. 1-7
• Mikulski, W. M.: Natural operators lifting functions to cotangent bundles of linear higher order tangent bundles. (English). In: Slovák, Jan (ed.): Proceedings of the 15th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [199]-206
• Vosmanská, Gabriela: Natural transformations of semi-holonomic 3-jets. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 313-318
• Tomáš, Jiří: Some natural operators on vector fields. (English). Archivum Mathematicum, vol. 31 (1995), issue 3, pp. 239-249
• Studený, Václav: General Nijenhuis tensor: an example of a secondary invariant. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [133]-141
• Doupovec, Miroslav: Natural liftings of $(0,2)$-tensor fields to the tangent bundle. (English). Archivum Mathematicum, vol. 30 (1994), issue 3, pp. 215-225
• Mikulski, W. M.: Natural operators lifting vector fields on manifolds to the bundles of covelocities. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [105]-121
• Studený, Václav: Natural vector fields on tangent bundles. (English). Archivum Mathematicum, vol. 30 (1994), issue 4, pp. 277-283
• Slovák, Jan: The principal prolongation of first order $G$-structures. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [123]-131
• Doupovec, Miroslav; Vondra, Alexandr: Some natural operations between connections on fibred manifolds. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [73]-84
• Mikulski, W. M.: Natural differential operators between some natural bundles. (English). Mathematica Bohemica, vol. 118 (1993), issue 2, pp. 153-161
• Mikulski, Włodzimierz M.: Natural liftings of foliations to the $r$-tangent bunde. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1994. pp. [153]-159
• Doupovec, Miroslav: Natural transformations between $TTT^*M$ and $TT^*TM$. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 4, pp. 599-613
• Dębecki, Jacek: Natural transformations of Lagrangians. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1994. pp. [41]-46
• Mikulski, W. M.: Natural transformations of the covelocities functors into some natural bundles. (English). Mathematica Bohemica, vol. 118 (1993), issue 3, pp. 277-280
• Mikulski, Włodzimierz M.: Natural transformations transforming vector fields into affinors on the extended $r$-th order tangent bundles. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 59-70
• Kolář, Ivan: On cotangent bundles of some natural bundles. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1994. pp. [115]-120
• Kurek, Jan: Natural affinors on higher order cotangent bundle. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 175-180
• Dębecki, Jacek: Natural transformations of affinors into linear forms. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Topology". Circolo Matematico di Palermo, Palermo, 1993. pp. [49]-59
• Mikulski, Włodzimierz M.: Natural transformations of foliations into foliations on the cotangent bundle. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Topology". Circolo Matematico di Palermo, Palermo, 1993. pp. [61]-67
• Vanžurová, Alena: Natural transformations of the second tangent functor and soldered morphisms. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 31 (1992), issue 1, pp. 109-118
• Mikulski, W. M.: Natural transformations transforming functions and vector fields to functions on some natural bundles. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 217-223
• Slovák, Jan: On invariant operations on pseudo-Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 269-276
• Kolář, Ivan: On the natural operators transforming vector fields to the $r$-th tensor power. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Topology". Circolo Matematico di Palermo, Palermo, 1993. pp. [15]-20
• Kobak, Piotr: The structure tensor and first order natural differential operators. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 121-138
• Gancarzewicz, Jacek; Kolář, Ivan: Natural affinors on the extended $r$-th order tangent bundles. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [95]-100
• Doupovec, Miroslav; Kolář, Ivan: Natural affinors on time-dependent Weil bundles. (English). Archivum Mathematicum, vol. 27 (1991), issue 2, pp. 205-209
• Kobak, Piotr: Natural liftings of vector fields to tangent bundles of bundles of $1$-forms. (English). Mathematica Bohemica, vol. 116 (1991), issue 3, pp. 319-326
• Dębecki, Jacek: Natural transformations of affinors into functions and affinors. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [101]-112
• Švec, Alois: Affine differential geometry of surfaces. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 1, pp. 125-154
• Cap, Andreas: All linear and bilinear natural concomitants of vector valued differential forms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 567-587
• Cabras, Antonella; Kolář, Ivan; Modugno, Marco: General structured bundles. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [105]-111
• Cap, Andreas: Natural operators between vector valued differential forms. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [113]-121
• Švec, Alois: Differential geometry of surfaces. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 303-322
• Slovák, Jan: On natural connections on Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 389-393
• Kolář, Ivan; Slovák, Jan: Prolongation of vector fields to jet bundles. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1990. pp. [103]-111
• Švec, Alois: Surfaces in general affine space. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 280-287
• Jankovský, Zdeněk; Šejdl, Miroslav: Zur äquiformen Geometrie in der Ebene. (German) [On the equiform geometry for the plane]. Aplikace matematiky, vol. 32 (1987), issue 1, pp. 57-62
• Kolář, Ivan; Michor, Peter W.: All natural concomitants of vector valued differential forms. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1987. pp. [101]-108
• Sekizawa, Masami: Natural transformations of affine connections on manifolds to metrics on cotangent bundles. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [129]-142
• Pogoda, Zdzisław: The regularity condition for some natural functors. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [105]-115
• Michor, Peter W.: Remarks on the Schouten-Nijenhuis bracket. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1987. pp. [207]-215
• Krupka, Demeter; Mikolášová, Věra: On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 4, pp. 588-597
• Carbol, Jaroslav; Vanžura, Jiří: Derivations on the algebra of differential forms of higher order on a manifold. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 21 (1982), issue 1, pp. 113-118
• Mikolášová, Věra: On the functional independence of scalar invariants of curvature for dimensions n=2,3,4. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 349-354
• El Shinnawy, El Said: The Euclidean plane kinematics. (English). Aplikace matematiky, vol. 24 (1979), issue 2, pp. 105-117
• Švec, Alois: Cubic forms on Riemannian surfaces. (English). Časopis pro pěstování matematiky, vol. 103 (1978), issue 2, pp. 181-185
• Kolář, Ivan: On the infinitesimal geometric objects of submanifolds. (English). Archivum Mathematicum, vol. 9 (1973), issue 4, pp. 203-211
• Kowalski, Oldřich: A contribution to the Cartan's method of specialization of frames. (English). Archivum Mathematicum, vol. 4 (1968), issue 2, pp. 107-120
• Jarník, Vojtěch O kružnici křivosti (Czech) [On a circle of curvature]. Čas. pro pěst. mat. a fys. 74 (1949), D37--D51
• Jarník, Vojtěch: O kružnici křivosti. (Czech) [On a circle of curvature]. Časopis pro pěstování matematiky a fysiky, vol. 74 (1949), issue 1, pp. D37-D51