The spherically symmetric Finsler metrics with isotropic S-curvature

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:431

Article

Zhou, Linfeng

关键词: Spherical symmetry;    S-curvature;   

DOI  :  10.1016/j.jmaa.2015.05.074

来源: Elsevier

【 摘 要 】

In this paper, we investigate the spherically symmetric Finsler metrics with isotropic S-curvature and obtain a characterized equation. As an application, we prove that these metrics with Douglas type must be Randers metrics or Berwald metrics. This result leads to two classification theorems. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free