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arXiv:0904.4743 [math.DG]AbstractReferencesReviewsResources

The cut loci on ellipsoids and certain Liouville manifolds

Jin-ichi Itoh, Kazuyoshi Kiyohara

Published 2009-04-30Version 1

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.

Comments: 40 pages
Categories: math.DG
Subjects: 53C22
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