Conjugation-invariant norms on groups of geometric origin

By D. Burago, Sergei Ivanov, L. Polterovich. 2007

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A group is said to be bounded if it has a finite diameter with respect to any bi-invariant metric. In the present paper we discuss boundedness of various groups of diffeomorphisms.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9c2f2d23b01f9db8a87bad9ee54f8a3f70a266b3