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

• Autorzy: Mikulski W. , Tomáš J. M.
• Języki publikacji: EN

Słowa kluczowe

EN

bundle functor; natural operator; vector fields

PL

operatory naturalne; pole wektorowe; wiązka punktów

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• 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

autor

Tomáš J. M.

• Department of Physical and Applied Chemistry, Faculty of Chemistry, Technical University Brno, Purkyňova 118, Brno, Czech Republic

Bibliografia

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• [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.