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<p>In 1997, renowned geometers Basco and Matsumoto advanced the concept of Berwald spaces and introduced the notions of Landsberg and Douglas spaces. In 2002, Basco introduced a significant variant of Berwald spaces, known as weakly Berwald spaces, which plays a crucial role in Finsler geometry. This study explores the generalized Matsumoto metric, another distinct class within Finsler geometry. It aims to identify the specific conditions under which a Finsler space with this metric qualifies as a weakly Berwald space. This exploration contributes to a deeper understanding of the structure and properties of Finsler spaces through the perspective of this specialized metric.</p>

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Weakly Berwald Spaces with Generalized Matsumoto Metrics

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Sejal Prajapati,
  • Brijesh Kumar Tripathi

摘要

In 1997, renowned geometers Basco and Matsumoto advanced the concept of Berwald spaces and introduced the notions of Landsberg and Douglas spaces. In 2002, Basco introduced a significant variant of Berwald spaces, known as weakly Berwald spaces, which plays a crucial role in Finsler geometry. This study explores the generalized Matsumoto metric, another distinct class within Finsler geometry. It aims to identify the specific conditions under which a Finsler space with this metric qualifies as a weakly Berwald space. This exploration contributes to a deeper understanding of the structure and properties of Finsler spaces through the perspective of this specialized metric.