English

Local Rigidity of group actions: Past, Present, Future

Dynamical Systems 2007-05-23 v3 Differential Geometry

Abstract

This survey aims to cover the motivation for and history of the study of local rigidity of group actions. There is a particularly detailed discussion of recent results, including outlines of some proofs. The article ends with a large number of conjectures and open questions and aims to point to interesting directions for future research. {\em To Anatole Katok on the occasion of his 60th birthday.}

Cite

@article{arxiv.math/0507455,
  title  = {Local Rigidity of group actions: Past, Present, Future},
  author = {David Fisher},
  journal= {arXiv preprint arXiv:math/0507455},
  year   = {2007}
}

Comments

Survey article, final version for publication, see also http://mypage.iu.edu/~fisherdm/

R2 v1 2026-07-22T17:22:24.081Z