Closed manifolds admitting metrics with the same geodesics
微分几何
2016-11-23 v1 动力系统
几何拓扑
辛几何
摘要
The goal of this survey is to give a list of resent results about topology of manifolds admitting different metrics with the same geodesics. We emphasize the role of the theory of integrable systems in obtaining these results.
引用
@article{arxiv.math/0407245,
title = {Closed manifolds admitting metrics with the same geodesics},
author = {Vladimir S. Matveev},
journal= {arXiv preprint arXiv:math/0407245},
year = {2016}
}
备注
Submitted to Conference Proceedings SPT2004: Symmetry and perturbation theory (Cala Gonone)