On the contact (k, r)-coelements

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

Słowa kluczowe

PL

operator naturalny; funktory

EN

bundle functor; natural operator; natural transformation

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 433--449
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Mikulski, W. M.

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków,

Bibliografia

• [1] M. Doupovec, J. Kurek, Torsions of connections of higher order cotangent bundles, Czech. Math. J., to appear.
• [2] C. Ehresmann, Introduction á la structures infinitésimales et des pseudogroupes de Lie, Colloque du C.N.R.S., Strasbourg, 1953, pp. 97-110.
• [3] J. Gancarzewicz, Liftings of Functions and Vector Fields to Natural Bundles, Dissert. Math. CCXII, Warszawa, 1983.
• [4] J. Gancarzewicz, I. Kolář, Natural affinors on the extended r-th order tangent bundles, Suppl. Rend. Circolo Mat. Palermo 30 (II) (1993), 95-100.
• [5] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer Verlag 1993.
• [6] I. Kolář, W. M. Mikulski, Contact elements on fibered manifolds, Czech. Math. J., to appear.
• [7] I. Kolář, M. Modugno, Torsions of connections on some natural bundles, Diff. Geom. and Appl. 2(1992), 1-16.
• [8] J. Kurek, Natural transformations of higher order cotangent bundle functors, Ann. Polon. Math. 58 (1993), 29-35.
• [9] J. Kurek, Natural affinors on higher order cotangent bundle functor, Arch. Math. Brno (28)(1992), 175-180.
• [10] M. Kureš, W. M. Mikulski, Natural lifting of vector fields to bundles of Weil contact elements, Czech. Math. J., to appear.
• [11] W. M. Mikulski, The jet prolongations of fibered fibered manifolds and the flow operator, Publ. Math. Debrecen 59 (3-4) (2001), 441-458.
• [12] W. M. Mikulski, Locally determined associated spaces, J. London Math. Soc. (2), 32 (1985), 357-364.
• [13] W. M. Mikulski, Some natural constructions on vector fields and higher order cotangent bundles, Mh. Math. 117 (1994), 107-119.
• [14] W. M. Mikulski, The natural operators lifting 1-forms to the bundles of A-velocities, Mh. Math. 119 (1995), 63-77.
• [15] W. M. Mikulski, The natural operators lifting vector fields to (JrT*)*, Arch. Math. Brno 36 (2000), 255-260.
• [16] A. Morimoto, Prolongations of connections to bundles of infinitely near points, J. Diff. Geom. 11 (1976), 476-498.
• [17] K. Yano, S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker. INC., New York, 1973.
• [18] J. Tomáš, Natural operators on vector fields on the cotangent bundles of (k,r)-velocities, Rend. Circ. Mat. Palermo 5431(II)(1998), 113-124, 239-249.