On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach

Csaba Vincze; Tahere Reza Khoshdani; Sareh Mehdi Zadeh Gilani; Márk Oláh

Displaying similar documents to “On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach”

On Berwald and Wagner manifolds.

Vincze, Csaba (2008)

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

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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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Complete Finsler manifolds and adapted coordinates.

Bidabad, Behroz (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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On $𝒞$ -conformal changes of Riemann-Finsler metrics

Vincze, Cs.

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A new proof of Szabó's theorem on the Riemann-metrizability of Berwald manifolds.

Vincze, Csaba (2005)

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

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On the conformal theory of Ichijyō manifolds

Szakál, Sz.

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Some special linear connection introduced in the Finsler space by Ichijyō has the property that the curvature tensors under conformal changes remain invariant. Two Ichijyō manifolds $(M, E, \nabla)$ and $(M, \bar{E}, \bar{\nabla})$ are said to be conformally equivalent if $\bar{E} = (exp σ^{v}) E$ , $σ \in C^{\infty} (M)$ .It is proved, that in this case, the following assertions are equivalent: 1. $σ$ is constant, 2. $h_{\nabla} = h_{\bar{\nabla}}$ , 3. $S_{\nabla} = S_{\bar{\nabla}}$ , 4. $t_{\nabla} = t_{\bar{\nabla}}$ .It is also proved (when the above conditions are satisfied) that1. If $(M, E, \nabla)$ is a generalized Berwald manifold, then $(M, \bar{E}, \bar{\nabla})$ is also a generalized Berwald...

Bounded complete Finsler structures I

C. Atkin (1978)

Studia Mathematica

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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...