{ "id": "math/0507455", "version": "v3", "published": "2005-07-21T22:42:52.000Z", "updated": "2007-04-20T13:39:55.000Z", "title": "Local Rigidity of group actions: Past, Present, Future", "authors": [ "David Fisher" ], "comment": "Survey article, final version for publication, see also http://mypage.iu.edu/~fisherdm/", "categories": [ "math.DS", "math.DG" ], "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.}", "revisions": [ { "version": "v3", "updated": "2007-04-20T13:39:55.000Z" } ], "analyses": { "subjects": [ "37C85", "53C24" ], "keywords": [ "group actions", "local rigidity", "60th birthday", "survey aims", "article ends" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......7455F" } } }