Local rigidity of certain actions of solvable groups on the boundaries of rank one symmetric spaces

2019/04/27 by Okada, Mao
#Dynamical Systems (math.DS) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1904.12140

Abstract

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 Γ⊂ 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.

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