Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605909 | Differential Geometry and its Applications | 2015 | 11 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hongmei Zhu,