arXiv:1908.10496 Abstract | arXiv Analytics

arXiv:1908.10496 [math.DS]Abstract References Reviews Resources

Local rigidity of parabolic algebraic actions

Published 2019-08-27Version 1

We show $C^\infty$ local rigidity for a broad class of abelian unipotent algebraic actions on homogeneous spaces of semisimple Lie groups. The method of proof is a combination of KAM type iteration scheme and representation theory. This is the first time in literature (strong) local rigidity for parabolic actions is addressed.

Comments: arXiv admin note: text overlap with arXiv:1908.09181

Categories: math.DS

Keywords: local rigidity, parabolic algebraic actions, abelian unipotent algebraic actions, kam type iteration scheme, semisimple lie groups

Related articles: Most relevant | Search more

arXiv:1908.09181 [math.DS] (Published 2019-08-24)

New examples of local rigidity of algebraic partially hyperbolic actions

Zhenqi Jenny Wang

arXiv:1009.2994 [math.DS] (Published 2010-09-15, updated 2012-01-17)

Local rigidity for Anosov automorphisms

Andrey Gogolev, Boris Kalinin, Victoria Sadovskaya

arXiv:math/0303236 [math.DS] (Published 2003-03-19, updated 2003-11-12)

Local Rigidity for Cocycles