C2 densely the 2-sphere has an elliptic closed geodesic

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Abstract

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We prove that a riemannian metric on the 2-sphere or the projective plane can be C2-approximated by a smooth metric whose geodesic flow has an elliptic closed geodesic.

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Differential Geometry, Dynamical Systems, 53D25, 37D40, 37D30

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http://salesiana.dossiersoluciones.com/handle/123456789/69404

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312005
 http://arxiv.org/abs/math/0312005

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arXiv