论文信息 - The cut loci and the conjugate loci on ellipsoids

The cut loci and the conjugate loci on ellipsoids

Abstract.We prove that the cut locus of any point on any ellipsoid is an arc on the curvature line through the antipodal point. Also, we prove that the conjugate locus has exactly four cusps, which is known as the last geometric statement of Jacobi.

Jin-ichi Itoh | Jin-ichi Itoh | Kazuyoshi Kiyohara | K. Kiyohara

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