arXiv subjects

Mao Okada

Publications and source records attributed to Mao Okada.

2 recordsLinked to original sources

arXiv2019

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

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 $Γ\subset G$ 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.

math.RT↗

arXiv2017

Local rigidity of certain actions of nilpotent-by-cyclic groups on the sphere

Let G = SU(n,1), n >1 be the orientation-preserving isometry group of the complex hyperbolic space with an Iwasawa decomposition G = KAN. We prove local rigidity of a family of certain actions of a subgroup of AN on the imaginary boundary of the complex hyperbolic space.

math.DS↗