Dynamical and Topological methods in Theory of Geodesically Equivalent Metrics


This is rather classical material. The first nontrivial examples of geodesically equivalent metrics were constructed in 1865 by Beltrami see [2, 3]. In 1869 Dini [6] formulated the problem of local classification of geodesically equivalent metrics, and solved it for dimension two. In 1896 Levi-Civita [7] obtained a local description of geodesically… (More)


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