Entropy rigidity for finite volume strictly convex projective manifolds

被引：0

作者：

Bray, Harrison ^{[1
]}

Constantine, David ^{[2
]}

机构：

[1] George Mason Univ, Fairfax, VA 22030 USA

[2] Wesleyan Univ, Middletown, CT 06459 USA

来源：

GEOMETRIAE DEDICATA | 2021年 / 214卷 / 01期

关键词：

Convex projective manifolds; Hilbert metric; Entropy; Volume; Rigidity; MINIMAL ENTROPY;

D O I：

10.1007/s10711-021-00627-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove entropy rigidity for finite volume strictly convex projective manifolds in dimensions >= 3, generalizing the work of [1] to the finite volume setting. The rigidity theorem uses the techniques of Besson, Courtois, and Gallot's entropy rigidity theorem. It implies uniform lower bounds on the volume of any finite volume strictly convex projective manifold in dimensions >= 3.

引用

页码：543 / 557

页数：15

共 31 条

[1] ENTROPY RIGIDITY AND HILBERT VOLUME [J].