H. Shimada

activity

20112021

most citedA Gauss-Bonnet Type Formula on Riemann-Finsler surfaces with non-constant indicatrix volume

5 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2021

A Finsler metric of constant Gauss curvature $K = 1$ on 2-sphere

I. Masca, S. V. Sabau, H. Shimada

We construct a concrete example of constant Gauss curvature $K = 1$ on the 2-sphere having all geodesics closed and of same length.

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…

math.DG2013★ 2 cited

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…

math.DG2012

On the existence of Generalized Unicorns on Surfaces

S. V. Sabau, K. Shibuya, H. Shimada

This paper addresses the problem of existence of generalized Landsberg structures on surfaces using the Cartan-Kähler Theorem and a Path Geometry approach.

math.DG2012

Necessary and sufficient conditions for two dimensional $(α, β)$ -metrics with reversible geodesics

Ioana M. Masca, Sorin V. Sabau, Hideo Shimada

We study the necessary and sufficient conditions for a Finsler surface with $(α, β)$ -metrics to be with reversible geodesics.

math.DG2011★ 1 cited

Moving frames on generalized Finsler structures