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The Curvatures of R-quadratic Finsler Metrics

Publish Year: 1402
Type: Journal paper
Language: English
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JR_MACO-4-2_004

Index date: 17 October 2024

The Curvatures of R-quadratic Finsler Metrics abstract

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.

The Curvatures of R-quadratic Finsler Metrics authors

Nasrin Sadeghzadeh

University of Qom

Najmeh SAJJADI MOGHADAM

University of Qom

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