On some natural operators in vector fields

• Autorzy: Mikulski W. M.
• Języki publikacji: EN

Słowa kluczowe

EN

natural bundle; natural operator

PL

operatory naturalne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 221--230
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Mikulski W. M.

• Institute of Mathematics, Jagiellonian University, ul. Reymonta 4, Kraków, Poland

Bibliografia

• [1] M. Doupovec, J. Kurek, Liftings of tensor fields to the cotangent bundles, Proc. Conf. Differential Geom. and Appl., Brno, 1995, pp. 141-150.
• [2] M. Doupovec, J. Kurek, Some geometrical constructions with (0,2)-tensor fields on higher order cotangent bundles, Ann. Univ. M. Curie-Skłodowska, Sect. A 50 (1996), 43-50.
• [3] M. Doupovec, J. Kurek, Torsions of connections on higher order cotangent bundles, Czechoslovak Math. J., to appear.
• [4] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer Verlag, Berlin, 1993.
• [5] I. Kolář, W. M. Mikulski, Contact elements on fibered manifolds, Czech. Math. J., to appear.
• [6] J. Kurek, Natural affinors on higher order cotangent bundle functor, Arch. Math. Brno (28)(1992), 175-180.
• [7] J. Kurek, Natural transformations of higher order cotangent bundle functors, Ann. Polon. Math. 58(1993), 29-35.
• [8] M. Kureš, Connections and torsions on TT*M, Ann. Univ. M. Curie-Skłodowska, Sect. A 55 (2001), 89-101.
• [9] W. M. Mikulski, Some natural constructions on vector fields and higher order cotangent bundles, Mh. Math., 117, (1994), 107-119.
• [10] W. M. Mikulski, Natural functions on T*T⁽ʳ⁾ and T*Tʳ*, Arch. Math. Brno 31(1995), 1-7.
• [11] W. M. Mikulski, Natural transformations transforming functions and vector fields on some natural bundles, Math. Bohemica 117 (1992), 217-223.
• [12] W. M. Mikulski, Natural affinors on [wzór], Comment. Math. Univ. Carolinae 42, 4 (2001), 655-663.
• [13] W. M. Mikulski, The natural operators [wzór] and [wzór], Colloq. Math. 93(1) (2002), 55-65.
• [14] K. Yano, S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker, INC., New York, 1973.