翘曲积Finsler度量中两个非黎曼曲率的等价性

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-02-17 DOI:10.1007/s40010-023-00817-z

Bankteshwar Tiwari, Ranadip Gangopadhyay, Anjali Shriwastawa

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引用次数: 1

摘要

本文讨论了翘曲积Finsler度量的Busemann-Hausdorff体积形式和Holmes-Thompson体积形式。借助这些体积形式，我们得到了这类度量的e曲率和s曲率。进一步，我们证明了各向同性e曲率和各向同性s曲率的概念对于这类度量是等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Equivalence of Two Non-Riemannian Curvatures in Warped Product Finsler Metrics

In this paper we discuss the Busemann-Hausdorff volume form and Holmes-Thompson volume form for the warped product Finsler metrics. With the help of these volume forms we obtain the E-curvature and the S-curvature for this class of metrics. Further, we show that the notion of isotropic E-curvature and isotropic S-curvature are equivalent for this class of metrics.

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