s曲率，e曲率，以及Finsler空间的Berwald标量曲率

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-11-21 DOI:10.1016/j.difgeo.2023.102080

M. Crampin

引用次数: 0

摘要

我证明了芬斯勒空间的s曲率消失当且仅当e曲率消失当且仅当伯瓦尔德标量曲率消失;我把这些结果推广到这些物体是各向同性的情况。

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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S-curvature, E-curvature, and Berwald scalar curvature of Finsler spaces

I show that the S-curvature of a Finsler space vanishes if and only if the E-curvature vanishes if and only if the Berwald scalar curvature vanishes; and I extend these results to the case in which these objects are isotropic.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.