A CURVATURE-FREE Log(2k-1) THEOREM

被引：0

作者：

Balacheff, Florent ^{[1
]}

Merlin, Louis ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 8193, Spain

[2] Rheinisch Westfalische TH RWTH, Dept Math, Aachen, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 06期

基金：

美国国家科学基金会;

关键词：

KLEINIAN-GROUPS; ENTROPY;

D O I：

10.1090/proc/15280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a curvature-free version of the Log(2k - 1) Theorem of Anderson, Canary, Culler, and Shalen [J. Differential Geometry 44 (1996), pp. 738-782]. It generalizes a result by Hou [J. Differential Geometry 57 (2001), no. 1, pp. 173-193] and its proof is rather straightforward once we know the work by Lim [Trans. Amer. Math. Soc. 360 (2008), no. 10, pp. 5089-5100] on volume entropy for graphs. As a byproduct we obtain a curvature-free version of the Collar Lemma in all dimensions.

引用

页码：2429 / 2434

页数：6

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