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Title: On the simplicial structure of some Weil bundles (English)
Author: Kureš, Miroslav
Language: English
Journal: Proceedings of the 19th Winter School "Geometry and Physics"
Issue: 1999
Pages: 131-140
Category: math
Summary: 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. (English)
MSC: 58A20
MSC: 58A32
idZBL: Zbl 0981.58001
idMR: MR1758088
Date available: 2009-07-18T21:18:19Z
Last updated: 2012-09-18
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