Asian Journal of Mathematics
Volume 14 (2010)
The Cut Loci on Ellipsoids and Certain Liouville Manifolds
Pages: 257 – 290
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.
Cut locus; ellipsoid; Liouville manifold; integrable geodesic flow
2010 Mathematics Subject Classification
Primary 53C22. Secondary 53A05.