Decomposition of $H^{i}_{jkh} (x,\dot{x})$ in generalised recurrent Finsler space of second order

H. D. Pandey; V. J. Dubey

Displaying similar documents to “Decomposition of $H_{j k h}^{i} (x, \dot{x})$ in generalised recurrent Finsler space of second order”

On Finsler-Weyl manifolds and connections

Kozma, L.

Similarity:

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...

Some framed $f$ -structures on transversally Finsler foliations

Cristian Ida (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

Similarity:

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.

The $p$ -Laplace eigenvalue problem as $p \to \infty$ in a Finsler metric

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

Journal of the European Mathematical Society

Similarity:

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 $p \to \infty$ .

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

Esmaeil Peyghan, Chunping Zhong (2012)

Annales Polonici Mathematici

Similarity:

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 $\tilde{T M}$ 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 flag...

Isometry invariant Finsler metrics on Hilbert spaces

Eugene Bilokopytov (2017)

Archivum Mathematicum

Similarity:

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...

On geodesic mappings of special Finsler spaces

Bácsó, Sándor

Similarity:

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 ${\bar{F}}^{n} = (M^{n}, \bar{L})$ which map the geodesics of $F^{n}$ to geodesics of ${\bar{F}}^{n}$ (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space $F^{n}$ and a Riemannian space ${\bar{ℝ}}^{n}$ . The main result of this paper is as follows: if $F^{n}$ is of constant curvature $K$ and the mapping $F^{n} \to {\bar{ℝ}}^{n}$ is a strongly geodesic mapping then $K = 0$ or $K \neq 0$ and $\bar{L} = e^{ϕ (x)} L$ .

Extension of smooth functions in infinite dimensions II: manifolds

C. J. Atkin (2002)

Studia Mathematica

Similarity:

Let M be a separable $C^{\infty}$ Finsler manifold of infinite dimension. Then it is proved, amongst other results, that under suitable conditions of local extensibility the germ of a $C^{\infty}$ function, or of a $C^{\infty}$ section of a vector bundle, on the union of a closed submanifold and a closed locally compact set in M, extends to a $C^{\infty}$ function on the whole of M.

The rigidity theorem for Landsberg hypersurfaces of a Minkowski space

Jin Tang Li (2012)

Annales Polonici Mathematici

Similarity:

Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space $(V^{n + 1}, F ̅)$ with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.

The Morse-Sard-Brown Theorem for Functionals on Bounded Fréchet-Finsler Manifolds

Kaveh Eftekharinasab (2015)

Communications in Mathematics

Similarity:

In this paper we study Lipschitz-Fredholm vector fields on bounded Fréchet-Finsler manifolds. In this context we generalize the Morse-Sard-Brown theorem, asserting that if $M$ is a connected smooth bounded Fréchet-Finsler manifold endowed with a connection $𝒦$ and if $ξ$ is a smooth Lipschitz-Fredholm vector field on $M$ with respect to $𝒦$ which satisfies condition (WCV), then, for any smooth functional $l$ on $M$ which is associated to $ξ$ , the set of the critical values of $l$ is of first category...

Bianchi identities in recurrent Finsler spaces.

Čomić, Irena (1985)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Displaying similar documents to “Decomposition of H j k h i ( x , x ˙ ) in generalised recurrent Finsler space of second order”

Displaying similar documents to “Decomposition of $H_{j k h}^{i} (x, \dot{x})$ in generalised recurrent Finsler space of second order”