Rigidity and dynamics around manifolds of negative curvature
type: Item
instance of: scholarly article
title: Rigidity and dynamics around manifolds of negative curvature
zbMATH Open document ID: 0840.53027
author: Chengbo Yue
published in: Mathematical Research Letters
publication date: 1996-06-30T00:00:00Z
review text: In this survey article, the author discusses results and problems related to several invariant measures for the geodesic flow on the unit tangent bundle of a compact negatively curved Riemannian manifold \(M\). The discussion is centered at the conjecture of Katok and Sullivan that a manifold as above is locally symmetric if the measure classes of any two of the three measures -- visibility, Patterson-Sullivan, or harmonic measure -- on \(\widetilde{M} (\infty)\) coincide.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 53-02
zbMATH DE Number: 817680
zbMATH Keywords: negative curvature
zbMATH Keywords: invariant measures
zbMATH Keywords: geodesic flow
reviewed by: Werner Ballmann
MaRDI profile type: Publication
DOI: 10.4310/MRL.1994.V1.N2.A1
description: scientific article; zbMATH DE number 817680