We prove entropy rigidity for finite volume strictly convex projective manifolds in dimensions \(\ge 3\), 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 \(\ge 3\).

中文翻译：

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有限体积严格凸射影流形的熵刚度

我们证明了尺寸为\（\ ge 3 \）的有限体积严格凸射影流形的熵刚度，将[1]的工作推广到有限体积设置。刚性定理使用Besson，Courtois和Gallot的熵刚性定理的技术。这意味着尺寸为\（\ ge 3 \）的任何有限体积的严格凸射流形的体积的统一下界。