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Local Rigidity of group actions: Past, Present, Future

2005/07/21 by David Fisher, Fisher, David
Computer Science · #37C85 #53C24 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.math/0507455

openalex publication_date 2005/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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