On prolongation of higher order connections

Miroslav Doupovec; Włodzimierz M. Mikulski

Annales Polonici Mathematici (2011)

  • Volume: 102, Issue: 3, page 279-292
  • ISSN: 0066-2216

Abstract

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We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.

How to cite

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Miroslav Doupovec, and Włodzimierz M. Mikulski. "On prolongation of higher order connections." Annales Polonici Mathematici 102.3 (2011): 279-292. <http://eudml.org/doc/280701>.

@article{MiroslavDoupovec2011,
abstract = {We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.},
author = {Miroslav Doupovec, Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {jet prolongation; holonomic connection; natural operator},
language = {eng},
number = {3},
pages = {279-292},
title = {On prolongation of higher order connections},
url = {http://eudml.org/doc/280701},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Miroslav Doupovec
AU - Włodzimierz M. Mikulski
TI - On prolongation of higher order connections
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 3
SP - 279
EP - 292
AB - We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.
LA - eng
KW - jet prolongation; holonomic connection; natural operator
UR - http://eudml.org/doc/280701
ER -

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