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math.DG2026

Golden Finsler Geometry: Local Properties and Global Deformations

Ebtsam H. Taha, Bankteshwar Tiwari, A. Soleiman

The paper defines a new "golden" Finsler structure on smooth manifolds, derives its local metric and geodesic properties, studies projective flatness of related (α,β)-metrics, and…

math.DG2026

On Locally Dually and Projectively Flat Almost Rational Finsler Metrics

Ghanashyam Kumar Prajapati, Ranadip Gangopadhyay, Bankteshwar Tiwari

In this paper, we investigate Almost Rational Finsler (AR-Finsler) metrics, a class of Finsler metrics whose fundamental tensor admits a decomposition $g_{ij}(x,y)=η(x,y)a_{ij}(x,…

math.DG2026

Finsler structure of the Apollonian weak metric on the unit disc

Alok Kumar Pandey, Ashok Kumar, Bankteshwar Tiwari

In this paper, we {\it find} the Finsler structure of the Apollonian weak metric on the open unit disc in , which turns out to be a Randers type Finsler structure and…

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

On Minkowskian Product Einstein-Finsler spaces

Arti Sahu Gangopadhyay, Ranadip Gangopadhyay, Ghanashyam Kr. Prajapati +1

In this paper we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein then either the product mani…