Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896857 | Journal of Geometry and Physics | 2008 | 8 Pages |
Abstract
In this paper we study some rigidity properties for locally symmetrical Finsler manifolds and obtain some results. We obtain the local equivalent characterization for a Finsler manifold to be locally symmetrical and prove that any locally symmetrical Finsler manifold with nonzero flag curvature must be Riemannian. We also generalize a rigidity result due to Akbar-Zadeh.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Bing Ye Wu,