On general ( α , β )-metrics with isotropic S -curvature
On general ( α , β )-metrics with isotropic S -curvature
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DOI：
10.1016/j.jmaa.2018.04.049
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发表时间：
2018-08
影响因子：
1.3
通讯作者：
Hongmei Zhu
中科院分区：
文献类型：
--
作者：
Hongmei Zhu
S曲率是Finsler几何中一个重要的非黎曼量。本文研究了一类由黎曼度量α和1-形式β定义的Finsler度量，称之为广义（α，β）-度量.我们刻画了所有具有迷向S-曲率的一般（α，β）-度量.
The S-curvature is an important non-Riemannian quantity in Finsler geometry. In this paper, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We characterize all of general (α, β)-metrics with isotropic S-curvature.