Characterizing the unit ball by its projective automorphism group

Zimmer, Andrew

doi:10.2140/gt.2016.20.2397

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Characterizing the unit ball by its projective automorphism group

Andrew M Zimmer

Geometry & Topology 20 (2016) 2397–2432

DOI: 10.2140/gt.2016.20.2397

Abstract

In this paper we study the projective automorphism group of domains in real, complex, and quaternionic projective space and present two new characterizations of the unit ball in terms of the size of the automorphism group and the regularity of the boundary.

Keywords

projective geometry, automorphism group, Hilbert metric, Kobayashi metric

Mathematical Subject Classification 2010

Primary: 53C24

Secondary: 22E40, 53A20

References

Publication

Received: 7 July 2015

Accepted: 12 September 2015

Published: 15 September 2016

Proposed: Benson Farb

Seconded: Tobias H. Colding, Dmitri Burago

Authors

Andrew M Zimmer
Department of Mathematics University of Chicago 5734 S. University Avenue Room 208C Chicago, IL 60637 United States
http://math.uchicago.edu/~andrew.zimmer/

Volume 20, issue 4 (2016)