On Certain Conditions Which Reduce a Finsler Space of Scalar Curvature to a Riemannian Space of Constant Curvature

B. B. Sinha; A.S. Matharoo

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Displaying similar documents to “On Certain Conditions Which Reduce a Finsler Space of Scalar Curvature to a Riemannian Space of Constant Curvature”

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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.