45 citations · 270 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
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…
Some remarks on the geometry of Kropina spaces
Ryozo Yoshikawa, Sorin V. Sabau
Using the navigation data (h,W) of a Kropina space, we characterize weakly-Berwald Kropina spaces and Berwald Kropina spaces by means of the Killing vector field W and the parallel…
Metric structures associated to Finsler metrics
Sorin V. Sabau, Kazuhiro Shibuya, Hideo Shimada
We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quas…