Reversibility and Sub-reversibility of Finsler Metrics

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Sadeghi Hassan

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Journal Paper

Paper Information

Journal: Journal of Finsler Geometry and its Applications Year:2022 | Volume:3 | Issue:2 Page(s): 41-49

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Information Journal Paper

Title

Reversibility and Sub-reversibility of Finsler Metrics

Author(s)

Sadeghi Hassan | Issue Writer Certificate

Keywords

Reversibility of Finsler metric

spherically metric

Randers metric

square metric

Abstract

In order to extend the sphere theorem for Finsler metrics, the concept of reversibil-ity introduced by H-B. Rademacher for a compact Finsler manifold. In this paper, weextend this notion to the general Finsler manifolds. Then we find an upper bound forthe reversibility of some important spherically symmetric Finsler metrics. Furthermore,we introduce the concept of sub-reversibility for a general Finsler manifold and obtain anon-zero lower bound for this new quantity.

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