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

Esmaeil Peyghan; Akbar Tayebi; Behzad Najafi

Displaying similar documents to “Doubly warped product Finsler manifolds with some non-Riemannian curvature properties”

On Berwald and Wagner manifolds.

Vincze, Csaba (2008)

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

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Some rigidity theorems for Finsler manifolds.

Kim, Chang-Wan (2008)

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

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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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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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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.

Some results on curvature and topology of Finsler manifolds

Bing Ye Wu (2013)

Annales Polonici Mathematici

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We investigate the curvature and topology of Finsler manifolds, mainly the growth of the fundamental group. By choosing a new counting function for the fundamental group that does not rely on the generators, we are able to discuss the topic in a more general case, namely, we do not demand that the manifold is compact or the fundamental group is finitely generated. Among other things, we prove that the fundamental group of a forward complete and noncompact Finsler n-manifold (M,F) with...

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.

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

Vincze, Cs.

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Optimal approximations on Riemannian manifolds.

Toda, M., Udrişte, C. (1999)

Balkan Journal of Geometry and its Applications (BJGA)

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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...