The natural affinors on ( J r T * ) *

Włodzimierz M. Mikulski

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 4, page 261-267
  • ISSN: 0044-8753

Abstract

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For natural numbers r and n ≥ 2 a complete classification of natural affinors on the natural bundle ( J r T * ) * dual to r -jet prolongation J r T * of the cotangent bundle over n -manifolds is given.

How to cite

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Mikulski, Włodzimierz M.. "The natural affinors on $(J^rT^*)^*$." Archivum Mathematicum 036.4 (2000): 261-267. <http://eudml.org/doc/248546>.

@article{Mikulski2000,
abstract = {For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {bundle functors; natural transformations; natural affinors; bundle functors; natural transformations; natural affinors},
language = {eng},
number = {4},
pages = {261-267},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The natural affinors on $(J^rT^*)^*$},
url = {http://eudml.org/doc/248546},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - The natural affinors on $(J^rT^*)^*$
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 4
SP - 261
EP - 267
AB - For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.
LA - eng
KW - bundle functors; natural transformations; natural affinors; bundle functors; natural transformations; natural affinors
UR - http://eudml.org/doc/248546
ER -

References

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  1. Natural transformations between T T T * M and T T * T M , Czechoslovak Math. J. 43 (118) 1993, 599–613. Zbl0806.53024MR1258423
  2. Natural affinors on time-dependent Weil bundles, Arch. Math. (Brno) 27 (1991), 205–209. MR1189217
  3. Natural affinors on the extended r -th order tangent bundles, Suppl. Rendiconti Circolo Mat. Palermo, 30 (1993), 95–100. MR1246623
  4. Natural operations in differential geometry, Springer-Verlag, Berlin 1993. MR1202431
  5. Torsions of connections on some natural bundles, Diff. Geom. and Appl. 2(1992), 1–16. MR1244453
  6. Natural affinors on higher order cotangent bundles, Arch. Math. (Brno) 28 (1992), 175–180. MR1222284
  7. Natural affinors on r -jet prolongation of the tangent bundle, Arch. Math. (Brno) 34(2)(1998), 321–328. Zbl0915.58006MR1645340
  8. The natural affinors on ⊗ k T ( r ) , Note di Matematica, to appear. 
  9. On the order of natural operators and liftings, Ann. Polon. Math. 49(1988), 169–178. MR0983220

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