Dynamical and Topological methods in Theory of Geodesically Equivalent Metrics

Abstract

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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