On compact asymptotically harmonic manifolds
type: Item
instance of: scholarly article
title: On compact asymptotically harmonic manifolds
zbMATH Open document ID: 0767.53030
DOI: 10.1007/BF01232020
author: P. Foulon
author: François Labourie
published in: Inventiones Mathematicae
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/144014
review text: The authors prove the following theorem: Let \(M\) be a compact smooth (Riemannian) manifold with negative curvature which is asymptotically harmonic. Then the geodesic flow of \(M\) is \(C^ \infty\) conjugate to that of a rank one locally symmetric compact manifold.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
zbMATH DE Number: 126372
zbMATH Keywords: negative curvature
zbMATH Keywords: geodesic flow
zbMATH Keywords: rank one locally symmetric compact manifold
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
cites work: Q4712415
cites work: Harmonic measures and Bowen-Margulis measures
cites work: Sur les espaces riemanniens complètement harmoniques
cites work: On a regularity problem occurring in connection with Anosov diffeomorphisms
description: scientific article; zbMATH DE number 126372