Constructions on second order connections

J. Kurek; W. M. Mikulski

Annales Polonici Mathematici (2007)

  • Volume: 92, Issue: 3, page 215-223
  • ISSN: 0066-2216

Abstract

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We classify all m , n -natural operators : J ² J ² V A transforming second order connections Γ: Y → J²Y on a fibred manifold Y → M into second order connections ( Γ ) : V A Y J ² V A Y on the vertical Weil bundle V A Y M corresponding to a Weil algebra A.

How to cite

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J. Kurek, and W. M. Mikulski. "Constructions on second order connections." Annales Polonici Mathematici 92.3 (2007): 215-223. <http://eudml.org/doc/280275>.

@article{J2007,
abstract = {We classify all $ℱℳ_\{m,n\}$-natural operators $ :J² ⟿ J²V^\{A\}$ transforming second order connections Γ: Y → J²Y on a fibred manifold Y → M into second order connections $(Γ): V^\{A\}Y → J²V^\{A\}Y$ on the vertical Weil bundle $V^\{A\}Y → M$ corresponding to a Weil algebra A.},
author = {J. Kurek, W. M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {higher order connection; Weil bundle; natural operator},
language = {eng},
number = {3},
pages = {215-223},
title = {Constructions on second order connections},
url = {http://eudml.org/doc/280275},
volume = {92},
year = {2007},
}

TY - JOUR
AU - J. Kurek
AU - W. M. Mikulski
TI - Constructions on second order connections
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 3
SP - 215
EP - 223
AB - We classify all $ℱℳ_{m,n}$-natural operators $ :J² ⟿ J²V^{A}$ transforming second order connections Γ: Y → J²Y on a fibred manifold Y → M into second order connections $(Γ): V^{A}Y → J²V^{A}Y$ on the vertical Weil bundle $V^{A}Y → M$ corresponding to a Weil algebra A.
LA - eng
KW - higher order connection; Weil bundle; natural operator
UR - http://eudml.org/doc/280275
ER -

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