3 papers
math.DG2025
The Funk-Finsler Structure in the Constant Curvature Spaces
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this paper, we {\it find} the infinitesimal structure of Funk-Finsler metric in spaces of constant curvature. We investigate the geometry of this Funk-Finsler metric by explicit…
math.DG2024
The Funk-Finsler structure on the unit disc in the hyperbolic plane
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this paper, we construct the Funk-Finsler structure in various models of the hyperbolic plane. In particular, in the unit disc of the Klein model, it turns out to be a Randers m…
math.DG2023
Isometric models of the Funk disc and the Busemann function
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this article, we find three isometric models of the Funk disc: Finsler upper half of the hyperboloid of two sheets model, the Finsler band model and the Finsler upper hemi spher…