Advanced Studies in Pure Mathematics

Conjugation-invariant norms on groups of geometric origin

Dmitri Burago, Sergei Ivanov, and Leonid Polterovich

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Abstract

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.

Article information

Source
Groups of Diffeomorphisms: In honor of Shigeyuki Morita on the occasion of his 60th birthday, R. Penner, D. Kotschick, T. Tsuboi, N. Kawazumi, T. Kitano and Y. Mitsumatsu, eds. (Tokyo: Mathematical Society of Japan, 2008), 221-250

Dates
Received: 4 October 2007
Revised: 26 February 2008
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447484

Digital Object Identifier
doi:10.2969/aspm/05210221

Mathematical Reviews number (MathSciNet)
MR2509711

Zentralblatt MATH identifier
1222.20031

Citation

Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid. Conjugation-invariant norms on groups of geometric origin. Groups of Diffeomorphisms: In honor of Shigeyuki Morita on the occasion of his 60th birthday, 221--250, Mathematical Society of Japan, Tokyo, Japan, 2008. doi:10.2969/aspm/05210221. https://projecteuclid.org/euclid.aspm/1543447484


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