The cut loci on ellipsoids and certain Liouville manifolds

Details The cut loci on ellipsoids and certain Liouville manifolds The cut loci on ellipsoids and certain Liouville manifolds

2009-04-30

arxiv.org/abs/0904.4743v1

Mathematics

Differential Geometry

40 pages

Scientific paper

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.

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