3 papers
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…
math.DG2004
Visualizing Ricci Flow of Manifolds of Revolution
J. Hyam Rubinstein, Robert Sinclair
We present numerical visualizations of Ricci Flow of surfaces and 3-dimensional manifolds of revolution. Ricci_rot is an educational tool which visualizes surfaces of revolution mo…