On the geodesic flow of tori without conjugate points
type: Item
instance of: scholarly article
title: On the geodesic flow of tori without conjugate points
zbMATH Open document ID: 0807.53039
DOI: 10.1007/BF02572318
published in: Mathematische Zeitschrift
publication date: 1994-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/174647
review text: Consider a Riemannian torus \(M\) without conjugate points. We prove that the unit tangent bundle \(SM\) admits a continuous foliation by Lipschitz Lagrangian tori which are invariant under the geodesic flow. The construction provides continuous first integrals of the flow.
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 704914
zbMATH Keywords: Riemannian torus
zbMATH Keywords: conjugate points
zbMATH Keywords: Lipschitz Lagrangian tori
zbMATH Keywords: geodesic flow
author: Jens Heber
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 704914