Abstract
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.
Citation
Jin-ichi Itoh. Kazuyoshi Kiyohara. "The Cut Loci on Ellipsoids and Certain Liouville Manifolds." Asian J. Math. 14 (2) 257 - 290, June 2010.
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