A splitting of the local rigidity of Clifford-Klein forms of homogeneous spaces of completely solvable Lie groups

Yoshinori Tanimura

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arXiv · 1607.07199

A splitting of the local rigidity of Clifford-Klein forms of homogeneous spaces of completely solvable Lie groups

Yoshinori Tanimura

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Abstract

In this article, we discuss the local rigidity of Clifford-Klein forms of homogeneous spaces of 1-connected completely solvable Lie groups. In fact, we introduce a splitting of the local rigidity: vertical rigidity and horizontal rigidity. By using this splitting, we refine some existing results about the local rigidity and introduce a new approach to Baklouti's conjecture about the local rigidity.

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Yoshinori Tanimura. 2016-07-25. A splitting of the local rigidity of Clifford-Klein forms of homogeneous spaces of completely solvable Lie groups. https://arxiv.org/abs/1607.07199

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