Displaying similar documents to “Relations between induced curvature tensors of Finsler hypersurface Fn-1 and curvature tensors of imbedding space Fn.”

Some rigidity theorems for Finsler manifolds of sectional flag curvature

Bing Ye Wu (2010)

Archivum Mathematicum

Similarity:

In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.