Volume 4, Issue 2 (12-2023)                   MACO 2023, 4(2): 31-43 | Back to browse issues page

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Sadeghzadeh N, SAJJADI MOGHADAM N. The Curvatures of R-quadratic Finsler Metrics. MACO 2023; 4 (2) :31-43
URL: http://maco.lu.ac.ir/article-1-155-en.html
Abstract:   (314 Views)
This paper presents a study of $R$-quadratic Finsler spaces and a new class of Finsler metrics called $bar{D}$-metrics. The non-Riemannian curvatures of $R$-quadratic Finsler spaces and their special case, the $R$-quadratic generalized $(alpha, beta)$-metrics, are analyzed to gain insights into their behavior. The paper then introduces the $bar{D}$-metrics, which are shown to be a proper subset of the class of $GDW$-metrics and contain the class of Douglas metrics. This paper contributes to the understanding of $R$-quadratic Finsler spaces and their properties, and presents a novel class of Finsler metrics with potential applications in the field.
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2024/10/11

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