Minoru Tanaka

activity

20092022

most citedThe cut locus and distance function from a closed subset of a Finsler manifold

22 citations · 58 across the 16 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.AP2022

Delta-convex structure of the singular set of distance functions

Tatsuya Miura, Minoru Tanaka

For the distance function from any closed subset of any complete Finsler manifold, we prove that the singular set is equal to a countable union of delta-convex hypersurfaces up to…

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