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Title: On local flatness of manifolds with AHS-structures (English)
Author: Čap, Andreas
Author: Slovák, Jan
Language: English
Journal: Proceedings of the 15th Winter School "Geometry and Physics"
Issue: 1995
Pages: [95]-101
Category: math
Summary: Summary: The AHS-structures on manifolds are the simplest cases of the so called parabolic geometries which are modeled on homogeneous spaces corresponding to a parabolic subgroup in a semisimple Lie group. It covers the cases where the negative parts of the graded Lie algebras in question are abelian. In the series the authors developed a consistent frame bundle approach to the subject. Here we give explicit descriptions of the obstructions against the flatness of such structures based on the latter approach. In particular we recover the results proved by Baston for complex manifolds in the real smooth setting. (English)
MSC: 53C15
MSC: 53C35
idZBL: Zbl 1067.53501
idMR: MR1463512
Date available: 2009-07-13T21:36:04Z
Last updated: 2012-09-18
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