@article{740fe4a1e2034d858a891912f369525b,
title = "Open problems and questions about geodesics",
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 = "closed geodesic, entropy, geodesics, integrable geodesic flows, projectively equivalent metrics",
author = "Keith Burns and Matveev, {Vladimir S.}",
note = "Funding Information: Acknowledgements. This paper 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. The focus of the conference was on geodesics in smooth manifolds. It was organized by Victor Bangert and Yiming Long and supported by AIM, CIM, and NSF. We thank all the participants, especially Victor Bangert, Charles Boubel, Nancy Hingston, Gerhard Knieper, Yiming Long, Gabriel Paternain, Mark Pollicott, Regina Rotman, St{\'e}phane Sabourau and Benjamin Schmidt, for active participation in the problem sessions. We also thank non-participants who have helped: Alberto Abbondandolo, Juan-Carlos Alvarez Paiva, Ivan Babenko, Florent Balacheff, Helga Baum, Michael Bialy, Dima Burago, Maciej Dunajski, Misha Gromov, Larry Guth, Sergei Ivanov, Bruce Kleiner, Alan Reid and Stefan Suhr. Most of the writing of the paper was done during four visits by KB to the Friedrich-Schiller-Universit{\"a}t Jena, supported by DFG (SPP 1154 and GK 1523). Publisher Copyright: {\textcopyright} 2019 Cambridge University Press.",
year = "2019",
doi = "10.1017/etds.2019.73",
language = "English (US)",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
}