S-closed conformal transformations in Finsler geometry

被引：7
作者：
Shen, Bin [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2018年 / 58卷
关键词：
Conformal; S-curvature; BERWALD; CONNECTIONS; MANIFOLDS; (ALPHA;
D O I：
10.1016/j.difgeo.2018.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless the Finsler manifold is Riemannian. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：254 / 263
页数：10
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