Reversible Geodesics of a Finsler Space with (α,β)-Metric

This paper deals with the existence of reversible geodesics over a Finsler space with some (α,β)-metrics. The conditions for a Finsler space (M,F) to be with reversible geodesics are obtained. We study some geometrical properties of F with reversible geodesics and prove that the Finsler metric F induces a weighted quasi-metric d_F on M.

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-12-11
DOI
https://doi.org/10.52783/anvi.v28.2711
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Reversible Geodesics of a Finsler Space with (α,β)-Metric

Rinkal
Advances in Nonlinear Variational Inequalities
Advanced Differential Geometry Research
article

Reversible Geodesics of a Finsler Space with (α,β)-Metric

Rinkal
article en

Abstract

This paper deals with the existence of reversible geodesics over a Finsler space with some (α,β)-metrics. The conditions for a Finsler space (M,F) to be with reversible geodesics are obtained. We study some geometrical properties of F with reversible geodesics and prove that the Finsler metric F induces a weighted quasi-metric d_F on M.

Advances in Nonlinear Variational InequalitiesVol. 28(2s)
Openalex Percentile: Top 80%
Advanced Differential Geometry Research
DOIOpen Access PDFOpenAlex
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