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A higher-rank rigidity theorem for convex real projective manifolds

Andrew Zimmer

Geometry & Topology 27 (2023) 2899–2936
Abstract

For convex real projective manifolds we prove an analogue of the higher-rank rigidity theorem of Ballmann and Burns and Spatzier.

Keywords
real projective structures, rank rigidity, symmetric spaces
Mathematical Subject Classification
Primary: 53C24
Secondary: 20H10, 22E40, 37D40, 53C15
References
Publication
Received: 23 February 2021
Revised: 18 January 2022
Accepted: 14 February 2022
Published: 19 September 2023
Proposed: John Lott
Seconded: Bruce Kleiner, Anna Wienhard
Authors
Andrew Zimmer
Department of Mathematics
Louisiana State University
Baton Rouge, LA
United States
Department of Mathematics
University of Wisconsin, Madison
Madison, WI
United States

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