What question did this study set out to answer?

To determine the conditions under which a special Finsler space can be classified as a Berwald space.

May 7, 2026

Conformally Berwald Finsler Space with Special (a,ß) -Metric.

Key Points

To determine the conditions under which a special Finsler space can be classified as a Berwald space.
Analyzed the relationship between Finsler spaces and Berwald spaces.
Provided a conformal condition for special metrics in Finsler geometry.
Examined specific forms of (a,ß)-metrics such as Randers, Kropina, and Matsumoto.
Defined necessary and sufficient conditions for Finsler spaces to be classified as Berwald spaces.
Established connections between the metrics involved in Finsler spaces and their implications in a Berwald context.

Abstract

AbstractIn this paper, we find the necessary and sufficient condition for a Finsler space with special L= ?1a+?2ß2/a to be a Berwald space and also to be a Berwald space, where (a) could be a Riemannian metric and (ß) may be a differential one form. In this paper, we give the conformal condition for the special metric as (3.7). In the Finsler space, we see special (a,ß)-metrices such as Randers metric, Kropina metric, and Matsumoto metric, etc. MSC: 53B40, 53C60.

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