The cut loci on ellipsoids and certain Liouville manifolds

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We show that some riemannian manifolds diffeomorphic to the sphere have the property that the cut loci of general points are smoothly embedded closed disks of codimension one. Ellipsoids with distinct axes are typical examples of such manifolds.
40 pages

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Differential Geometry, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/228955

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.4743
 http://arxiv.org/abs/0904.4743

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arXiv