Displaying similar documents to “On Finsler-Weyl manifolds and connections”

A framed f-structure on the tangent bundle of a Finsler manifold

Esmaeil Peyghan, Chunping Zhong (2012)

Annales Polonici Mathematici

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Let (M,F) be a Finsler manifold, that is, M is a smooth manifold endowed with a Finsler metric F. In this paper, we introduce on the slit tangent bundle T M ˜ a Riemannian metric G̃ which is naturally induced by F, and a family of framed f-structures which are parameterized by a real parameter c≠ 0. We prove that (i) the parameterized framed f-structure reduces to an almost contact structure on IM; (ii) the almost contact structure on IM is a Sasakian structure iff (M,F) is of constant...

Some framed f -structures on transversally Finsler foliations

Cristian Ida (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Some problems concerning to Liouville distribution and framed f -structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f ( 3 , ε ) -structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.

Isometry invariant Finsler metrics on Hilbert spaces

Eugene Bilokopytov (2017)

Archivum Mathematicum

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In this paper we study isometry-invariant Finsler metrics on inner product spaces over ℝ or ℂ , i.e. the Finsler metrics which do not change under the action of all isometries of the inner product space. We give a new proof of the analytic description of all such metrics. In this article the most general concept of the Finsler metric is considered without any additional assumptions that are usually built into its definition. However, we present refined versions of the described results...

The p -Laplace eigenvalue problem as p → ∞ in a Finsler metric

M. Belloni, Bernhard Kawohl, P. Juutinen (2006)

Journal of the European Mathematical Society

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We consider the p -Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite p and investigate the limit problem as p → ∞ .

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 , ∇ ) and ( M , E ¯ , ∇ ¯ ) are said to be conformally equivalent if E ¯ = ( exp σ v ) E , σ ∈ C ∞ ( M ) .It is proved, that in this case, the following assertions are equivalent: 1. σ is constant, 2. h ∇ = h ∇ ¯ , 3. S ∇ = S ∇ ¯ , 4. t ∇ = t ∇ ¯ .It is also proved (when the above conditions are satisfied) that1. If ( M , E , ∇ ) is a generalized Berwald manifold, then ( M , E ¯ , ∇ ¯ ) is also a generalized Berwald...

On geodesic mappings of special Finsler spaces

Bácsó, Sándor

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The author previously studied with and [Publ. Math. 42, 139-144 (1993; Zbl 0796.53022)] the diffeomorphisms between two Finsler spaces F n = ( M n , L ) and F ¯ n = ( M n , L ¯ ) which map the geodesics of F n to geodesics of F ¯ n (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space F n and a Riemannian space ℝ ¯ n . The main result of this paper is as follows: if F n is of constant curvature K and the mapping F n → ℝ ¯ n is a strongly geodesic mapping then K = 0 or K ≠ 0 and L ¯ = e ϕ ( x ) L .