A new look at Finsler connections and special Finsler manifolds.
Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kim, Chang-Wan (2008)
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.
Vincze, Cs.
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Bejancu, Aurel, Farran, Hani Reda (2003)
International Journal of Mathematics and Mathematical Sciences
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Bejancu, Aurel, Farran, Hani Reda (1999)
International Journal of Mathematics and Mathematical Sciences
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Sorin Dragomir (1989)
Collectanea Mathematica
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We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.
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...