A bound on the number of endpoints of the cut locus
Robert Sinclair and Minoru Tanaka
Abstract: The authors provide strong experimental evidence for an upper
bound on the number of endpoints of the cut locus from a point on
a 2-surface of revolution. This bound is equal to the minimal
number of intervals of monotone non-increasing or non-decreasing
Gaussian curvature along one meridian from one pole to the other.
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Appendix A : |
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