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May 7, 2026Invertis Journal of Renewable Energy0 citations

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

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KPKunj Bihari PandeyPKPraveen KumarADAlok Dubey

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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Cite This Study

Pandey et al. (2025) studied this question.

synapsesocial.com/papers/69fbf004164b5133a91a4473https://doi.org/10.5958/2454-7611.2025.00013.9
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