On Berwald and Wagner manifolds.

Vincze, Csaba

Displaying similar documents to “On Berwald and Wagner manifolds.”

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 $𝒞$ -conformal changes of Riemann-Finsler metrics

Vincze, Cs.

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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...

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...

Some rigidity theorems for Finsler manifolds.

Kim, Chang-Wan (2008)

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

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

Csaba Vincze, Tahere Reza Khoshdani, Sareh Mehdi Zadeh Gilani, Márk Oláh (2019)

Communications in Mathematics

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In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.

Complete Finsler manifolds and adapted coordinates.

Bidabad, Behroz (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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Conformal ℱ-harmonic maps for Finsler manifolds

Jintang Li (2014)

Colloquium Mathematicae

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By introducing the ℱ-stress energy tensor of maps from an n-dimensional Finsler manifold to a Finsler manifold and assuming that (n-2)ℱ(t)'- 2tℱ(t)'' ≠ 0 for any t ∈ [0,∞), we prove that any conformal strongly ℱ-harmonic map must be homothetic. This assertion generalizes the results by He and Shen for harmonics map and by Ara for the Riemannian case.