Regularity of measure theoretic entropy for geodesic flows of negative curvature. I
type: Item
instance of: scholarly article
title: Regularity of measure theoretic entropy for geodesic flows of negative curvature. I
zbMATH Open document ID: 0671.58021
DOI: 10.1007/BF01393891
author: Gerhard Knieper
author: Howard Weiss
published in: Inventiones Mathematicae
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143667
review text: This paper reports on the results of a program investigating the regularity of entropy for \(C^{\infty}\) geodesic and Anosov flows under smooth perturbations. The authors mention that for more general systems there are examples, for which the entropy does not change continuously, and prove a regularity theorem for the measure theoretic entropy of a geodesic flow on a negatively curved surface.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
zbMATH DE Number: 4098345
zbMATH Keywords: regularity of entropy
zbMATH Keywords: Anosov flows
zbMATH Keywords: smooth perturbations
zbMATH Keywords: geodesic flow
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
cites work: When is a geodesic flow of Anosov type, I
cites work: Q5646734
cites work: CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
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description: scientific article; zbMATH DE number 4098345