The Scalar Curvature of the Tangent Bundle of a Finsler Manifold
Aurel Bejancu, Hani Reda Farran (2011)
Publications de l'Institut Mathématique
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Aurel Bejancu, Hani Reda Farran (2011)
Publications de l'Institut Mathématique
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Johanna Pék (2013)
Communications in Mathematics
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In this paper we generalize the classical structure equations of Riemannian geometry to generalized Finsler manifolds.
Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Vincze, Csaba (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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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.