# American Institute of Mathematical Sciences

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

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

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

Received  October 2014 Revised  June 2015 Published  September 2015

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 $n \geq 3$.
Citation: Masayuki Asaoka. Local rigidity of homogeneous actions of parabolic subgroups of rank-one Lie groups. Journal of Modern Dynamics, 2015, 9: 191-201. doi: 10.3934/jmd.2015.9.191
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