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

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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.