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Min-max closed geodesics in sub-riemannian geometry
Dr. Andrea Mondino, ETH, Zurich
sala conferenze IMATI-CNR - Martedì 6 Ottobre 2015 h.16:00
Abstract. A classical Theorem of Lyusternik-Fet asserts that any closed Riemannian manifold contains a non constant closed geodesic. In a joint work with Antonio Lerario (Florida Atlantic University) we have recently investigated the corresponding questions in sub-riemannian geometry. The goal of the talk is to first introduce the basics of sub-riemannian geometry and then discuss the main steps in the proof of the existence of a closed geodesic in a compact contact manifold. The talk will be made accessible for people interested in topology, differential geometry and analysis.
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