Autour de l'exposant critique d'un groupe kleinien
Marc Peign\'e
TL;DR
This paper explores the properties of the Poincaré exponent for discrete groups acting by isometries in negatively curved spaces, providing foundational results and tools for further research.
Contribution
It introduces new basic properties and key tools related to the Poincaré exponent in the context of Kleinian groups in negatively curved geometry.
Findings
Important results on Poincaré exponent properties
Development of main analytical tools for the domain
Foundational insights for further geometric group theory
Abstract
We present here some basic properties around the Poincar\'e exponent of a discrete group of isometries in pinched negatived curvature. We state some important results and present the main tools which are used in this domain.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research