Geometry & Topology

Characterizing the unit ball by its projective automorphism group

Andrew Zimmer

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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.

Article information

Geom. Topol., Volume 20, Number 4 (2016), 2397-2432.

Received: 7 July 2015
Accepted: 12 September 2015
First available in Project Euclid: 16 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C24: Rigidity results
Secondary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 53A20: Projective differential geometry

projective geometry automorphism group Hilbert metric Kobayashi metric


Zimmer, Andrew. Characterizing the unit ball by its projective automorphism group. Geom. Topol. 20 (2016), no. 4, 2397--2432. doi:10.2140/gt.2016.20.2397.

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