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Article

Title: The principal prolongation of first order $G$-structures (English)
Author: Slovák, Jan
Language: English
Journal: Proceedings of the Winter School "Geometry and Physics"
Volume:
Issue: 1994
Year:
Pages: [123]-131
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Category: math
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Summary: 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. (English)
MSC: 53A55
MSC: 53C10
MSC: 53C15
MSC: 58A20
idZBL: Zbl 0863.53020
idMR: MR1396607
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Date available: 2009-07-13T21:35:08Z
Last updated: 2012-09-18
Stable URL: http://hdl.handle.net/10338.dmlcz/701569
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