Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615037 | Journal of Mathematical Analysis and Applications | 2015 | 18 Pages |
Abstract
In this paper we study the flag curvature of a new class of Finsler metrics called general (α,β)(α,β)-metrics, which are defined by a Riemannian metric α and a 1-form β. The classification of such metrics with constant flag curvature are completely determined under some suitable conditions, which make them locally projectively flat. As a result, we construct many new projectively flat Finsler metrics with flag curvature 1, 0 and −1 in Section 9, all of which are of singularity at some directions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Changtao Yu, Hongmei Zhu,