Open problems and questions about geodesics

Keith Burns, Vladimir S. Matveev

Research output: Contribution to journalReview articlepeer-review

11 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)641-684
Number of pages44
JournalErgodic Theory and Dynamical Systems
Volume41
Issue number3
DOIs
StatePublished - Mar 2021

Keywords

  • closed geodesic
  • entropy
  • geodesics
  • integrable geodesic flows
  • projectively equivalent metrics

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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