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 $(R^2,d{r}^2+m(r{)}^{2}d{\theta }^2)$ is decreasing, then the cut locus of each point of $θ^{…