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The Geodesic equations in a two-dimensional Finsler manifold endowed with a Matsumoto-type metric

Year: 2025

Type: article

Abstract: This paper provides a comprehensive derivation of geodesicequations in a two-dimensional Finsler space characterized by a Matsumoto-type metric. It further exploresthe geometric applications of these equations on various surfaces, including cylinders,spheres, pseudo-spheres, and catenoids. Using illustrative examples and graphs, we analyze the geometric properties of geodesics for different parametric forms of these surfaces.The results enhance our understanding of geodesic behaviorin Finsler geometry and shedlight on curvature and geometric structures in diverse contexts.

Source: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES

DOI: 10.21915/bimas.2025301

Authors: Tripathi Brijesh Kumar, Chaubey V. K., Prajapati Sejal

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413895768

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