Article ID Journal Published Year Pages File Type
4605909 Differential Geometry and its Applications 2015 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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