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
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。
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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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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