Torsions of connections on tangent bundles of higher order

Kureš, Miroslav

  • Proceedings of the 17th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [65]-73

Abstract

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The torsions of a general connection Γ on the r th-order tangent bundle of a manifold M are defined as the Frölicher-Nijenhuis bracket of Γ with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the r th-order frame bundle of M .

How to cite

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Kureš, Miroslav. "Torsions of connections on tangent bundles of higher order." Proceedings of the 17th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1998. [65]-73. <http://eudml.org/doc/220102>.

@inProceedings{Kureš1998,
abstract = {The torsions of a general connection $\Gamma $ on the $r$th-order tangent bundle of a manifold $M$ are defined as the Frölicher-Nijenhuis bracket of $\Gamma $ with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the $r$th-order frame bundle of $M$.},
author = {Kureš, Miroslav},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[65]-73},
publisher = {Circolo Matematico di Palermo},
title = {Torsions of connections on tangent bundles of higher order},
url = {http://eudml.org/doc/220102},
year = {1998},
}

TY - CLSWK
AU - Kureš, Miroslav
TI - Torsions of connections on tangent bundles of higher order
T2 - Proceedings of the 17th Winter School "Geometry and Physics"
PY - 1998
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [65]
EP - 73
AB - The torsions of a general connection $\Gamma $ on the $r$th-order tangent bundle of a manifold $M$ are defined as the Frölicher-Nijenhuis bracket of $\Gamma $ with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the $r$th-order frame bundle of $M$.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/220102
ER -

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