2 papers
math.DG2021
A Finsler metric of constant Gauss curvature on 2-sphere
I. Masca, S. V. Sabau, H. Shimada
We construct a concrete example of constant Gauss curvature on the 2-sphere having all geodesics closed and of same length.
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.