A class of Finsler metrics of scalar flag curvature

作者：Zhu, Hongmei^*

来源：Differential Geometry and its Applications, 2015, 40: 321-331.

DOI：10.1016/j.difgeo.2015.02.011

• Finsler metric
• Scalar flag curvature
• Spherically symmetric
• Locally projectively flat

It is known that every locally projectively flat Finsler metric is of scalar flag curvature. Conversely, it may not be true. In this paper, for a certain class of Finsler metrics, we prove that it is locally projectively flat if and only if it is of scalar flag curvature. Moreover, we establish a class of new non-trivial examples.

• 出版日期2015-6
• 单位河南师范大学