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Geodesics on Riemannian manifolds and geodesic flows

山田淳二 氏

2017年5月25日(木) 15時00分

総合研究10号館317号室(セミナー室)

A geodesic is defined to be a curve which is a critical point of the length functional, and it is locally the shortest path between two points. In recent years, Geodesics on Riemannian manifolds have been studied from view of points of variational method and dynamical systems theory. In this presentation, we introduce geodesic flows with variational method and consider its aspects as Hamiltonian flows. we also take up geodesics on perturbed surfaces of revolution and show these chaotic behavior by applying Melnikov's method.

Last modified: Tue May 23 19:26:02 JST 2017