LOCAL RIGIDITY OF CERTAIN ACTIONS OF SOLVABLE GROUPS ON THE BOUNDARIES OF RANK-ONE SYMMETRIC SPACES

被引：0

作者：

Okada, Mao ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

JOURNAL OF MODERN DYNAMICS | 2021年 / 17卷

关键词：

Local rigidity; solvable group; cohomology of Lie algebras;

D O I：

10.3934/jmd.2021004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be the group of orientation-preserving isometries of a rank-one symmetric space X of non-compact type. We study local rigidity of certain actions of a solvable subgroup Gamma subset of G on the boundary of X, which is diffeomorphic to a sphere. When X is a quaternionic hyperbolic space or the Cayley hyperplane, the action we constructed is locally rigid.

引用

页码：111 / 143

页数：33

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