Gonzalo Contreras - The C^2 Mañé’s Conjecture on Surfaces.
Channel: Centro de Matemática
Date: 2018-11-08

Gonzalo Contreras (CIMAT)

Given a closed surface M and a convex and superlinear lagrangian L on TM, we prove that there is an open and dense set of function f in C^2(M, R) such that the lagrangian L + f has a unique minimizing measure supported on a hyperbolic periodic orbit.

Workshop on Groups, Geometry and Dynamics, 23–27 July 2018, Montevideo, Uruguay.

https://ggdworkshop.cmat.edu.uy/

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