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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-PWA3-0010-0020

Czasopismo

Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics

Tytuł artykułu

Liftings of projectable vector fields to 1-forms on higher order contangent bundles over fibered manifolds

Autorzy Mikulski, W.  Tomáš, J. M. 
Treść / Zawartość http://demmath.mini.pw.edu.pl/access.php https://www.degruyter.com/view/j/dema
Warianty tytułu
Języki publikacji EN
Abstrakty
Słowa kluczowe
PL operatory naturalne   pole wektorowe   wiązka punktów  
EN bundle functor   natural operator   vector fields  
Wydawca De Gruyter
Czasopismo Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
Rocznik 2004
Tom Vol. 37, nr 2
Strony 447--462
Opis fizyczny Bibliogr. 21 poz.
Twórcy
autor Mikulski, W.
  • Institute of Mathematics, Jagiellonian University, Kraków, ul. Reymonta 4, 30-059 Kraków, Poland, Mikulski@im.uj.edu.pl
autor Tomáš, J. M.
  • Department of Physical and Applied Chemistry, Faculty of Chemistry, Technical University Brno, Purkyňova 118, Brno, Czech Republic
Bibliografia
[1] M. Doupovec, J. Kurek, Liftings of tensor fields to the cotangent bundles, Proc. Conf. Diff. Geom. and Appl., Brno (1995), 141-150.
[2] M. Doupovec, J. Kurek, Some geometrical constructions with (0, 2)-tensor fields on higher order cotangent bundles, Ann. Univ. Mariae Curie-Sklodowska Sect. A 50 (1996), 43-50.
[3] M. Doupovec, J. Kurek, Torsions of connections on higher order cotangent bundles, to appear in Czechoslovak Math. J.
[4] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag, 1993.
[5] I. Kolář, W. M. Mikulski, Contact elements on fibered manifolds, to appear in Czechoslovak Math. J.
[6] J. Kurek, Natural affinors on higher order cotangent bundles, Arch. Math. Brno 28 (1992), 175-180.
[7] J. Kurek, Natural transformations on higher order cotangent bundle functors, Ann. Polon. Math. 58 (1993), 29-35.
[8] J. Kurek, W. M. Mikulski, Liftings of horizontal 1-forms to some vector bundle functors on fibered fibered manifolds, to appear in Ann. Univ. Mariae Curie-Sklodowska Sect. A, 2003.
[9] M. Kures, Connections and torsions on T T* M, Ann. Univ. Mariae Curie-Sklodowska Sect. A 55 (2001), 95-107.
[10] W. M. Mikulski, Some natural constructions on vector fields and higher order cotangent bundles, Mh. Math. 117 (1994), 107-119.
[11] W. M. Mikulski, Natural functions on T*(ʳ) and T*Tʳ*, Arch. Math. 31 (1995), 1-7.
[12] W. M. Mikulski, Natural transformations transforming functions and vector fields on some natural bundles, Math. Bohemica 117 (1992), 217-223.
[13] W. M. Mikulski, Natural affinors on Jr,s,q s,q(·,R¹,¹)₀)*, Comment. Math. Univ. Carolinae 42(4) (2001), 655-663.
[14] W. M. Mikulski, The natural operators T│мfm → T*Tʳ*, and [wzór], Colloq. Math. 93(1) (2002), 55-65.
[15] W. M. Mikulski, Some natural operations in projectable vector fields, Demonstratio Math. 36(1) (2003), 221-230.
[16] W. M. Mikulski, The jet prolongations of fibered fibered manifolds and the flow operator, Publ. Math. Debrecen 59(3-4) 441-458.
[17] W. M. Mikulski, J. Tomáš, Product preserving bundle functors on fibered fibered manifolds, Colloq. Math. 96(1) 17-26.
[18] R. Wolak, On the transverse structures of foliations, Suppl. Rend. Circ. Matern. di Palermo 9, 307-316.
[19] K. Yano, S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker, INC. New York, 1973.
[20] J. Tomáš, Natural T-functions on the cotangent bundle to a Weil bundle, to appear in Czech. Math. J.
[21] J. Tomáš, Some classification problems on natural bundles related to Weil bundles, World Scientific, Proc. of the conf. "Differential Geometry Valencia 2001" 297-310.
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