Displaying similar documents to “A generalization of the holomorphic flag curvature of complex Finsler spaces.”

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.