5 citations · 5 across the 3 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Hausdorff Stability of the Cut Locus Under -Perturbations of the Metric
Aritra Bhowmick, Jin-ichi Itoh, Sachchidanand Prasad
In this article, we prove the stability with respect to the Hausdorff metric of the cut locus of a point in a compact Riemannian manifold…
math.DG2013
Riemannian and Finslerian spheres with fractal cut loci
Jinchi Itoh, Sorin V. Sabau
The present paper shows that for a given integer k greater than 2 it is possible to construct an at least k-differentiable Riemannian metric on the sphere of a certain dimension su…
math.DG2013★ 5 cited
A Gauss-Bonnet Type Formula on Riemann-Finsler surfaces with non-constant indicatrix volume
J. Itoh, S. V. Sabau, H. Shimada
We prove a Gauss-Bonnet type formula for Riemann-Finsler surfaces of non-constant indicatrix volume and with regular piecewise smooth boundary. We give a Hadamard type theorem for…