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arXiv · 2012.04348

Basic automorphism of Cartan foliations covered by fibrations

K. I. Sheina
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Abstract

The basic automorphism group ${A}_B(M,F)$ of a Cartan foliation $(M, F)$ is the quotient group of the automorphism group of $(M, F)$ by the normal subgroup, which preserves every leaf invariant. For Cartan foliations covered by fibrations, we find sufficient conditions for the existence of a structure of a finite-dimensional Lie group in their basic automorphism groups. Estimates of the dimension of these groups are obtained. For some class of Cartan foliations with integrable an Ehresmann connection, a method for finding of basic automorphism groups is specified.

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K. I. Sheina. 2020-12-08. Basic automorphism of Cartan foliations covered by fibrations. https://arxiv.org/abs/2012.04348

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