The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds

• Autorzy: Jan Kurek , Włodzimierz Mikulski
• Języki publikacji: EN

Abstrakty

EN

For natural numbers r,s,q,m,n with s≥r≤q we determine all natural functions g: T *(J (r,s,q)(Y, R 1,1)0)*→R for any fibered manifold Y with m-dimensional base and n-dimensional fibers. For natural numbers r,s,m,n with s≥r we determine all natural functions g: T *(J (r,s)(Y, R)0)*→R for any Y as above.

Słowa kluczowe

EN

Bundle functor; natural function; 58A20; 53A55

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 5
• Strony: 801-810

Daty

wydano

2004-10-01

online

2004-10-01

Twórcy

autor

Jan Kurek

• Maria Curie Sklodowska University

autor

Włodzimierz Mikulski

• Jagiellonian University

Bibliografia

• [1] M. Doupovec and J. Kurek: “Torsions of connections on higher order cotangent bundles”, Czechoslovak Math. J., Vol. 53(4), (2003), pp. 949–962. http://dx.doi.org/10.1023/B:CMAJ.0000024533.75199.eb
• [2] I. Kolář: “On cotangent bundles of some natural bundles”, Supl. Rendiconti Circolo Math. Palermo, Vol. 37(II), (1994), pp. 115–120.
• [3] I. Kolář, P. Michor and J. Slovák: Natural operations in differential geometry, Springer-Verlag, 1993.
• [4] I. Kolář and W.M. Mikulski: “Contact elements on fibered manifolds”, Czechoslovak Math. J., Vol. 53(4), (2003) pp. 1017–1030. http://dx.doi.org/10.1023/B:CMAJ.0000024538.28153.47
• [5] I. Kolář and M. Modugno: “Torsions of connections on some natural bundles”, Differential Geom. Appl., Vol. 2, (1992), pp. 1–16. http://dx.doi.org/10.1016/0926-2245(92)90006-9
• [6] W.M. Mikulski: “Natural functions on T *T (r) and T *T r*” Arch. Math. Brno, Vol. 31(1), (1995), pp. 1–7.
• [7] W.M. Mikulski: “Natural affinors on (J r,s,q (R 1,1)0)*”, Comment. Math. Univ. Carolinae, Vol. 42(4), (2001), pp. 655–663.
• [8] A. Zajtz, “On the order of natural operators and liftings”, Ann. Polon. Math., Vol. 49, (1988), pp. 169–178.

Identyfikatory

DOI

10.2478/BF02475978