On the conformal theory of Ichijyō manifolds

Szakál, Sz.

Displaying similar documents to “On the conformal theory of Ichijyō manifolds”

On Berwald and Wagner manifolds.

Vincze, Csaba (2008)

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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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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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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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...

On Finsler-Weyl manifolds and connections

Kozma, L.

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Let $M$ be a manifold with all structures smooth which admits a metric $g$ . Let $Γ$ be a linear connection on $M$ such that the associated covariant derivative $\nabla$ satisfies $\nabla g = g \otimes w$ for some 1-form $w$ on $M$ . Then one refers to the above setup as a Weyl structure on $M$ and says that the pair $(g, w)$ fits $Γ$ . If $σ : M \to ℝ$ and if $(g, w)$ fits $Γ$ , then $(e^{σ g}, w + d σ)$ fits $Γ$ . Thus if one thinks of this as a map $g \mapsto w$ , then $e^{σ g} \mapsto w + d σ$ .In this paper, the author attempts to apply Weyl’s idea above to Finsler spaces. A Finsler fundamental function $L : T M \to ℝ$ satisfies...

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.

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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