Local rigidity of homogeneous actions of parabolic subgroups of rank-one Lie groups

Masayuki  Asaoka

doi:10.3934/jmd.2015.9.191

Article Contents

2015, Volume 9: 191-201. Doi: 10.3934/jmd.2015.9.191

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Local rigidity of homogeneous actions of parabolic subgroups of rank-one Lie groups

Masayuki Asaoka^1,

1.
Department of Mathematics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo, 606-8602 Kyoto

Received: October 2014

Revised: June 2015

Published: September 2015

Abstract / Introduction Related Papers Cited by

Abstract

We show the local rigidity of the standard action of the Borel subgroup of $SO_+(n,1)$ on a cocompact quotient of $SO_+(n,1)$ for $n \geq 3$.

Keywords:

Rigidity of group actions.

Mathematics Subject Classification: Primary: 37C85.

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References

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