Displaying similar documents to “Some rigidity theorems for Finsler manifolds.”

On special Berwald metrics.

Tayebi, Akbar, Peyghan, Esmaeil (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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.

Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications

Bing-Ye Wu (2014)

Annales Polonici Mathematici

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We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.

Projective Einstein Finsler metrics.

Sadeghzadeh, N., Rezaei, B., Razavi, A. (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Doubly warped product Finsler manifolds with some non-Riemannian curvature properties

Esmaeil Peyghan, Akbar Tayebi, Behzad Najafi (2012)

Annales Polonici Mathematici

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We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped...