On the simplicial structure of some Weil bundles

Kureš, Miroslav

  • Proceedings of the 19th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 131-140

Abstract

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The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of k -dimensional velocities, or k -jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding Weil bundle and its Weil algebra.

How to cite

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Kureš, Miroslav. "On the simplicial structure of some Weil bundles." Proceedings of the 19th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2000. 131-140. <http://eudml.org/doc/219920>.

@inProceedings{Kureš2000,
abstract = {The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of $k$-dimensional velocities, or $k$-jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding Weil bundle and its Weil algebra.},
author = {Kureš, Miroslav},
booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {131-140},
publisher = {Circolo Matematico di Palermo},
title = {On the simplicial structure of some Weil bundles},
url = {http://eudml.org/doc/219920},
year = {2000},
}

TY - CLSWK
AU - Kureš, Miroslav
TI - On the simplicial structure of some Weil bundles
T2 - Proceedings of the 19th Winter School "Geometry and Physics"
PY - 2000
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 131
EP - 140
AB - The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of $k$-dimensional velocities, or $k$-jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding Weil bundle and its Weil algebra.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/219920
ER -

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