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Singularités topologiques des systoles généralisées
Authors:H Akrout
Institution:Mathématiques Pures de Bordeaux, UMR 5467 CNRS, Université Bordeaux-I, 351, avenue de la Libération, F-33405 Talence Cedex, France
Abstract:We prove that a generalized systole defined by functions with positive definite Hessians is a topological Morse function such that critical points are eutactic points. We deduce that systole is a topological Morse function on Teichmüller space.
Keywords:32G15  57R70
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