Lipschitz continuous invariant forms for algebraic Anosov systems
type: Item
instance of: scholarly article
title: Lipschitz continuous invariant forms for algebraic Anosov systems
zbMATH Open document ID: 1211.37002
author: P. Foulon
author: Boris Hasselblatt
published in: Journal of Modern Dynamics
publication date: 2010-12-01T00:00:00Z
review text: Let \(M\) be a compact, locally symmetric space with negative sectional curvature. The authors establish the following property of the geodesic flow \(\phi^t\) on \(M\): If \(A\) is a Lipschitz continuous 1-form such that \(dA\) is \(\phi^t\)-invariant, then \(A\) is \(C^\infty\), and \(dA\) is a constant multiple of the exterior derivative of the canonical 1-form of \(\phi^t\). They also study properties of invariant 2-forms for hyperbolic automorphisms of tori and infranilmanifolds and their suspensions.
Mathematics Subject Classification ID: 37-02
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37D40
zbMATH DE Number: 5822265
zbMATH Keywords: Anosov flow
zbMATH Keywords: invariant forms
zbMATH Keywords: Lipschitz regularity
zbMATH Keywords: smooth rigidity
reviewed by: Sergei Yu. Pilyugin
MaRDI profile type: Publication
full work available at URL: jmd.2010.4.571
OpenAlex ID: W2320769959
DOI: 10.3934/JMD.2010.4.571
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description: scientific article; zbMATH DE number 5822265