Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. Courtois
type: Item
instance of: scholarly article
title: Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. Courtois
zbMATH Open document ID: 0926.53015
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/232032
full work available at URL: Gallot.MAN.html
review text: This article contains a review of solutions of some conjectures obtained by G. Besson, G. Courtois and the author of the present paper. Namely, results concerning the Gromov conjecture (the minimal volume of a hyperbolic manifold is achived by the hyperbolic metric), the conjectures of A. Katok and M. Gromov about the minimal entropy and the conjecture of A. Lichnerowicz (any negatively curved compact locally harmonic manifold is a quotient of a noncompact rank one symmetric space) are considered.
reviewed by: Ryszard Deszcz
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 1184333
zbMATH Keywords: Schwarz lemma
zbMATH Keywords: minimal volume
zbMATH Keywords: hyperbolic metrics
zbMATH Keywords: Einstein metrics
zbMATH Keywords: negatively curved locally symmetric metrics
zbMATH Keywords: Lichnerowicz conjecture
author: Sylvestre (Sylvain) Gallot
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184333