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

Jan Kurek; Włodzimierz Mikulski

Open Mathematics (2004)

  • Volume: 2, Issue: 5, page 801-810
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Jan Kurek, and Włodzimierz Mikulski. "The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds." Open Mathematics 2.5 (2004): 801-810. <http://eudml.org/doc/268738>.

@article{JanKurek2004,
abstract = {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.},
author = {Jan Kurek, Włodzimierz Mikulski},
journal = {Open Mathematics},
keywords = {58A20; 53A55},
language = {eng},
number = {5},
pages = {801-810},
title = {The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds},
url = {http://eudml.org/doc/268738},
volume = {2},
year = {2004},
}

TY - JOUR
AU - Jan Kurek
AU - Włodzimierz Mikulski
TI - The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds
JO - Open Mathematics
PY - 2004
VL - 2
IS - 5
SP - 801
EP - 810
AB - 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.
LA - eng
KW - 58A20; 53A55
UR - http://eudml.org/doc/268738
ER -

References

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  1. [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 Zbl1080.53020
  2. [2] I. Kolář: “On cotangent bundles of some natural bundles”, Supl. Rendiconti Circolo Math. Palermo, Vol. 37(II), (1994), pp. 115–120. Zbl0839.58007
  3. [3] I. Kolář, P. Michor and J. Slovák: Natural operations in differential geometry, Springer-Verlag, 1993. Zbl0782.53013
  4. [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 Zbl1080.58002
  5. [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. [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. [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. Zbl1090.58501
  8. [8] A. Zajtz, “On the order of natural operators and liftings”, Ann. Polon. Math., Vol. 49, (1988), pp. 169–178. Zbl0714.58059

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