The principal prolongation of first order G -structures

Slovák, Jan

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [123]-131

Abstract

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The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order G -structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.

How to cite

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Slovák, Jan. "The principal prolongation of first order $G$-structures." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1996. [123]-131. <http://eudml.org/doc/221823>.

@inProceedings{Slovák1996,
abstract = {The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order $G$-structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.},
author = {Slovák, Jan},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Physics; Winter school; Srní(Czech Republic)},
location = {Palermo},
pages = {[123]-131},
publisher = {Circolo Matematico di Palermo},
title = {The principal prolongation of first order $G$-structures},
url = {http://eudml.org/doc/221823},
year = {1996},
}

TY - CLSWK
AU - Slovák, Jan
TI - The principal prolongation of first order $G$-structures
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1996
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [123]
EP - 131
AB - The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order $G$-structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.
KW - Proceedings; Geometry; Physics; Winter school; Srní(Czech Republic)
UR - http://eudml.org/doc/221823
ER -

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