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Open problems and questions about geodesics

Part of: Differential geometry Global analysis, analysis on manifolds Global differential geometry

Published online by Cambridge University Press:  06 December 2019

KEITH BURNS Open the ORCID record for KEITH BURNS [Opens in a new window]  and
VLADIMIR S. MATVEEV Open the ORCID record for VLADIMIR S. MATVEEV [Opens in a new window]
KEITH BURNS
Affiliation:
Department of Mathematics, Northwestern University Evanston, IL 60208-2730, USA email burns@math.northwestern.edu
VLADIMIR S. MATVEEV
Affiliation:
Institut für Mathematik, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany email vladimir.matveev@uni-jena.de
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Abstract

The paper surveys open problems and questions related to geodesics defined by Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an extended report on problem sessions held during the International Workshop on Geodesics in August 2010 at the Chern Institute of Mathematics in Tianjin.

Keywords

geodesicsclosed geodesicentropyintegrable geodesic flowsprojectively equivalent metrics

MSC classification

Primary: 53-02: Research exposition (monographs, survey articles) 58-02: Research exposition (monographs, survey articles) 53C22: Geodesics

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Type
Survey Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 3 , March 2021 , pp. 641 - 684
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© Cambridge University Press, 2019

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