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

被引：0
|
作者：
Crampin, M. [1 ]
机构：
[1] Orchard Rising, Herrings Lane, Norfolk, England
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2024年 / 92卷
关键词：
Finsler space; S-curvature; E-curvature; Berwald scalar curvature; Busemann form;
D O I：
10.1016/j.difgeo.2023.102080
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2023 Elsevier B.V. All rights reserved.
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页数：12
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