Finsler warped product metrics with isotropic S-curvature

被引：3
|
作者：
Liu, Huaifu [1 ]
Mo, Xiaohuan [2 ]
Zhu, Ling [2 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
[2] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2022年 / 81卷
基金：
中国国家自然科学基金;
关键词：
Finsler metric; S-curvature; Warped product; Spherically symmetric; RANDERS METRICS; FLAG CURVATURE;
D O I：
10.1016/j.difgeo.2022.101865
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The S-curvature is one of most important non-Riemannian quantities in Finsler geometry. In this paper, we study Finsler warped product metrics with isotropic S curvature. We find the equation that characterizes Finsler warped product metrics of isotropic S-curvature. Then we explicitly construct infinitely many new non spherically symmetric such metrics. (c) 2022 Elsevier B.V. All rights reserved.
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页数：12
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