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math.DG2022
Generalized von Mangoldt surfaces of revolution and asymmetric two-spheres of revolution with simple cut locus structure
Minoru Tanaka, Toyohiro Akamatsu, Robert Sinclair +1
It was known that if the Gaussian curvature function along each meridian on a surface of revolution is decreasing, then the cut locus of each point of $θ^{…
math.DG2021
A new family of latitudinally corrugated two-spheres of revolution with simple cut locus
Minoru Tanaka, Toyohiro Akamatsu, Robert Sinclair +1
There are not so many kinds of surface of revolution whose cut locus structure have been determined, although the cut locus structures of very familiar surfaces of revolution (in E…