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2016 Characterizing the unit ball by its projective automorphism group
Andrew Zimmer
Geom. Topol. 20(4): 2397-2432 (2016). DOI: 10.2140/gt.2016.20.2397


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.


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Andrew Zimmer. "Characterizing the unit ball by its projective automorphism group." Geom. Topol. 20 (4) 2397 - 2432, 2016.


Received: 7 July 2015; Accepted: 12 September 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1347.53035
MathSciNet: MR3548469
Digital Object Identifier: 10.2140/gt.2016.20.2397

Primary: 53C24
Secondary: 22E40 , 53A20

Keywords: automorphism group , Hilbert metric , Kobayashi metric , projective geometry

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.20 • No. 4 • 2016
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