Canonical tensor fields of type (p,0) on Weil bundles

Jacek Dębecki

Annales Polonici Mathematici (2006)

  • Volume: 88, Issue: 3, page 271-278
  • ISSN: 0066-2216

Abstract

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We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.

How to cite

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Jacek Dębecki. "Canonical tensor fields of type (p,0) on Weil bundles." Annales Polonici Mathematici 88.3 (2006): 271-278. <http://eudml.org/doc/280921>.

@article{JacekDębecki2006,
abstract = {We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.},
author = {Jacek Dębecki},
journal = {Annales Polonici Mathematici},
keywords = {product preserving bundle factor; Weil algebra},
language = {eng},
number = {3},
pages = {271-278},
title = {Canonical tensor fields of type (p,0) on Weil bundles},
url = {http://eudml.org/doc/280921},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Jacek Dębecki
TI - Canonical tensor fields of type (p,0) on Weil bundles
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 3
SP - 271
EP - 278
AB - We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.
LA - eng
KW - product preserving bundle factor; Weil algebra
UR - http://eudml.org/doc/280921
ER -

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