论文信息 - A curvature-free log$(2K-1)$ theorem

A curvature-free log$(2K-1)$ theorem

This paper presents a curvature-free version of the Log(2k-1) Theorem of Anderson, Canary, Culler & Shalen [ACCS96]. It generalizes a result by Hou [Hou01] and its proof is rather straightforward once we know the work by Lim [Lim08] on volume entropy for graphs. As a byproduct we obtain a curvature-free version of the Collar Lemma in all dimensions.

F. Balacheff | Louis Merlin

[1] E-mail Address , 2020, Definitions.

[2] R. Canary. Marden's Tameness Conjecture: history and applications , 2010, 1008.0118.

[3] Seonhee Lim. Minimal volume entropy for graphs , 2005, math/0506216.

[4] A. Lazowski. An explicit construction of Kleinian groups with small limit sets , 2014 .

[5] G. Courtois. Margulis Lemma, entropy and free products , 2014 .

[6] Yong Hou. Critical Exponent and Displacement of Negatively Curved Free Groups , 2001 .

[7] Ricardo Ma né. On the topological entropy of geodesic flows , 1997 .

[8] M. Culler,et al. Free Kleinian groups and volumes of hyperbolic {3}-manifolds , 1996 .

[9] P. Buser,et al. Geometry and Spectra of Compact Riemann Surfaces , 1992 .