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58A32 Natural bundles (78 articles)

• Mikulski, Włodzimierz M.: The canonical constructions of connections on total spaces of fibred manifolds. (English). Archivum Mathematicum, vol. 60 (2024), issue 3, pp. 163-175
• Doupovec, Miroslav; Kolář, Ivan: On the $\gamma $-equivalence of semiholonomic jets. (English). Archivum Mathematicum, vol. 55 (2019), issue 4, pp. 261-264
• Navarro, A.; Navarro, J.; Tejero Prieto, C.: Natural operations on holomorphic forms. (English). Archivum Mathematicum, vol. 54 (2018), issue 4, pp. 239-254
• Kolář, Ivan: Some functorial prolongations of general connections. (English). Archivum Mathematicum, vol. 54 (2018), issue 2, pp. 111-117
• Canarutto, Daniel: Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields. (English). Archivum Mathematicum, vol. 54 (2018), issue 4, pp. 205-226
• Tomáš, Jiří: The general rigidity result for bundles of $A$-covelocities and $A$-jets. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 2, pp. 297-316
• Shurygin, Vadim V.; Zubkova, Svetlana K.: Lifts of Foliated Linear Connectionsto the Second Order Transverse Bundles. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 111-120
• Dębecki, Jacek: Linear natural operators lifting $p$-vectors to tensors of type $(q,0)$ on Weil bundles. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 511-525
• Moukala, Norbert Mahoungou; Bossoto, Basile Guy Richard: Prolongation of Poisson $2$-form on Weil bundles. (English). Archivum Mathematicum, vol. 52 (2016), issue 2, pp. 91-111
• Ntyam, A.; Wankap Nono, G. F.; Ndombol, Bitjong: Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles. (English). Archivum Mathematicum, vol. 52 (2016), issue 3, pp. 131-140
• Mikulski, W.M.: A complement to the paper “On the Kolář connection” [Arch. Math. (Brno) 49 (2013), 223–240]. (English). Archivum Mathematicum, vol. 51 (2015), issue 3, pp. 189-190
• Mikulski, Włodzimierz M.: Fiber product preserving bundle functors as modified vertical Weil functors. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 517-528
• Mikulski, Włodzimierz M.: The natural operators lifting connections to higher order cotangent bundles. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 2, pp. 509-518
• Vondra, Jan: Natural transformations of connections on the first principal prolongation. (English). Archivum Mathematicum, vol. 50 (2014), issue 1, pp. 21-25
• Bruce, Andrew James: On curves and jets of curves on supermanifolds. (English). Archivum Mathematicum, vol. 50 (2014), issue 2, pp. 115-130
• Ntyam, A.; Wankap Nono, G. F.; Ndombol, Bitjong: On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles. (English). Archivum Mathematicum, vol. 50 (2014), issue 3, pp. 161-169
• Mikulski, Włodzimierz M.: On principal connection like bundles. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 4, pp. 961-967
• Kolář, Ivan: On the geometry of vertical Weil bundles. (English). Archivum Mathematicum, vol. 50 (2014), issue 5, pp. 317-322
• Kolář, Ivan: On special types of semiholonomic $3$-jets. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 165-175
• Mikulski, Włodzimierz M.: On the Kolář connection. (English). Archivum Mathematicum, vol. 49 (2013), issue 4, pp. 223-240
• Kolář, Ivan: On the natural transformations of Weil bundles. (English). Archivum Mathematicum, vol. 49 (2013), issue 5, pp. 303-308
• Janyška, Josef; Markl, Martin: Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case. (English). Archivum Mathematicum, vol. 48 (2012), issue 1, pp. 61-80
• Kolář, Ivan: On special types of nonholonomic $3$-jets. (English). Archivum Mathematicum, vol. 48 (2012), issue 5, pp. 339-351
• Kolář, Ivan: On the Weilian prolongations of natural bundles. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 487-494
• Mikulski, W. M.: On symmetrization of jets. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 157-168
• Dębecki, Jacek: Linear liftings of skew symmetric tensor fields of type $(1,2)$ to Weil bundles. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 4, pp. 933-943
• Kurek, Jan; Mikulski, Włodzimierz M.: Canonical 1-forms on higher order adapted frame bundles. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 115-118
• Vondra, Jan: Classification of principal connections naturally induced on $W^2PE$. (English). Archivum Mathematicum, vol. 44 (2008), issue 5, pp. 535-547
• Kolář, Ivan: Weilian prolongations of actions of smooth categories. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 133-138
• Kolář, Ivan; Mikulski, Włodzimierz M.: Fiber product preserving bundle functors on all morphisms of fibered manifolds. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 285-293
• Mikulski, Włodzimierz M.: Lifting of projectable vector fields to vertical fiber product preserving vector bundles. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 265-271
• Kurek, Jan; Mikulski, Włodzimierz M.: The natural affinors on some fiber product preserving gauge bundle functors of vector bundles. (English). Archivum Mathematicum, vol. 42 (2006), issue 1, pp. 59-67
• Tomáš, Jiří M.: Non-holonomic $(r,s,q)$-jets. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1131-1145
• Doupovec, Miroslav; Mikulski, Włodzimierz M.: On the existence of prolongation of connections. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1323-1334
• Kolář, Ivan; Cabras, Antonella: On the functorial prolongations of principal bundles. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 719-731
• Dębecki, Jacek: Some liftings of Poisson structures to Weil bundles. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 677-687
• Musilová, Pavla; Musilová, Jana: Connection induced geometrical concepts. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [153]-160
• Vašík, Petr: Connections on higher order principal prolongations. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [183]-192
• Mikulski, W. M.: A construction of a connection on $GY\to Y$ from a connection on $Y\to M$ by means of classical linear connections on $M$ and $Y$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 4, pp. 759-770
• Palese, Marcella; Winterroth, Ekkehart: Gauge-natural field theories and Noether theorems: canonical covariant conserved currents. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [161]-174
• Palese, Marcella; Winterroth, Ekkehart: Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 289-310
• Dębecki, Jacek: Linear liftings of skew-symmetric tensor fields to Weil bundles. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 3, pp. 809-816
• Mikulski, W. M.: Non-existence of natural operators transforming connections on $Y \to M$ into connections on $FY\to Y$. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 1-4
• Mikulski, W. M.: On naturality of the Helmholtz operator. (English). Archivum Mathematicum, vol. 41 (2005), issue 2, pp. 145-149
• Doupovec, Miroslav: On the underlying lower order bundle functors. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 901-916
• Doupovec, Miroslav; Mikulski, Włodzimierz M.: Prolongation of pairs of connections into connections on vertical bundles. (English). Archivum Mathematicum, vol. 41 (2005), issue 4, pp. 409-422
• Alonso-Blanco, R. J.; Muñoz-Díaz, J.: The contact system for $A$-jet manifolds. (English). Archivum Mathematicum, vol. 40 (2004), issue 3, pp. 233-248
• Tomáš, Jiří: Natural $T$-functions on the cotangent bundle of a Weil bundle. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 869-882
• 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
• Michalec, Paweł: The canonical tensor fields of type $(1,1)$ on $(J^r(\odot ^2 T^{\ast }))^{\ast }$. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 247-256
• Panák, Martin: Natural operators in the view of Cartan geometries. (English). Archivum Mathematicum, vol. 39 (2003), issue 1, pp. 57-75
• Mikulski, W. M.: Non-existence of some canonical constructions on connections. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 691-695
• Doupovec, Miroslav; Kurek, Jan: Torsions of connections on higher order cotangent bundles. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 949-962
• Gancarzewicz, Jacek; Rahmani, Noureddine; Salgado, Modesto: Connections of higher order and product preserving functors. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 889-896
• Mikulski, W. M.: Liftings of vector fields to $1$-forms on the $r$-jet prolongation of the cotangent bundle. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 565-573
• Cabras, Antonella; Kolář, Ivan: Prolongation of projectable tangent valued forms. (English). Archivum Mathematicum, vol. 38 (2002), issue 4, pp. 243-257
• 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
• Janyška, Josef: Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 143-160
• Cabras, Antonella; Kolář, Ivan: Prolongation of second order connections to vertical Weil bundles. (English). Archivum Mathematicum, vol. 37 (2001), issue 4, pp. 333-347
• Alonso, Ricardo J.: Jet manifold associated to a Weil bundle. (English). Archivum Mathematicum, vol. 36 (2000), issue 3, pp. 195-199
• 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
• Araujo, José; Keilhauer, Guillermo: Natural tensor fields of type $(0,2)$ on the tangent and cotangent bundles of a semi-Riemannian manifold. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. (7)-16
• Mikulski, Włodzimierz M.: The natural transformations $TT^{(r)}\to TT^{(r)}$. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 71-75
• Doupovec, Miroslav; Kolář, Ivan: Natural transformations of separated jets. (English). Archivum Mathematicum, vol. 36 (2000), issue 4, pp. 297-303
• Janyška, Josef: A remark on natural quantum Lagrangians and natural generalized Schrödinger operators in Galilei quantum mechanics. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 20th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2001. pp. 117-128
• Muñoz, J.; Rodriguez, J.; Muriel, F. J.: Weil bundles and jet spaces. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 721-748
• 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
• Kolář, Ivan; Mikulski, Włodzimierz M.: Natural lifting of connections to vertical 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. 97-102
• 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
• Kureš, Miroslav: On the simplicial structure of some Weil 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. 131-140
• Mikulski, W. M.: Natural operators lifting functions to bundle functors on fibered manifolds. (English). Archivum Mathematicum, vol. 34 (1998), issue 3, pp. 387-391
• Tomáš, Jiří: Natural operators transforming projectable vector fields to product preserving bundles. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 181-187
• Cabras, Antonella; Kolář, Ivan: On the second order absolute differentiation. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 123-133
• 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