Linear connections compatible with the -structure on the Lagrangian spaces.

Nikić, Jovanka

Displaying similar documents to “Linear connections compatible with the $F (3, 1)$ -structure on the Lagrangian spaces.”

Pseudo-Riemannian structures with the same connection.

Bercu, Gabriel (2006)

Balkan Journal of Geometry and its Applications (BJGA)

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Lifts of generalized symmetric spaces to tangent bundles

Masami Sekizawa (1987)

Časopis pro pěstování matematiky

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A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold

Neculai Papaghiuc (2001)

Colloquium Mathematicae

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We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).

Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group.

Gadea, P. M., Oubiña, J. A. (2003)

International Journal of Mathematics and Mathematical Sciences

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Uniqueness of decomposition of pseudo-Riemannian superalgebras

Keli Zheng, Liangyun Chen, Yongzheng Zhang (2014)

Colloquium Mathematicae

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This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.

The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.

Neagu, Mircea (2002)

International Journal of Mathematics and Mathematical Sciences

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Metrizability of connections on two-manifolds

Alena Vanžurová, Petra Žáčková (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We contribute to the reverse of the Fundamental Theorem of Riemannian geometry: if a symmetric linear connection on a manifold is given, find non-degenerate metrics compatible with the connection (locally or globally) if there are any. The problem is not easy in general. For nowhere flat $2$ -manifolds, we formulate necessary and sufficient metrizability conditions. In the favourable case, we describe all compatible metrics in terms of the Ricci tensor. We propose an application in the...

The global Yang-Mills equations depending on an arbitrary metric

Bernard Gaveau, Jerzy Kalina, Julian Lawrynowicz, Leszek Wojtczak (1985)

Annales Polonici Mathematici

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Curvature Tensor Of Pseudo Metric Semi-Symmetric Connexions In An Almost Contact Metric Mainfold

A. Sharfuddin, S. I. Husain (1978)

Publications de l'Institut Mathématique

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From Euler-Lagrange equations to canonical nonlinear connections

Mircea Neagu (2006)

Archivum Mathematicum

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The aim of this paper is to construct a canonical nonlinear connection $Γ = (M_{(α) β}^{(i)}, N_{(α) j}^{(i)})$ on the 1-jet space $J^{1} (T, M)$ from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function $L = h^{α β} (t) g_{i j} (t, x) x_{α}^{i} x_{β}^{j} + U_{(i)}^{(α)} (t, x) x_{α}^{i} + F (t, x) .$

Displaying similar documents to “Linear connections compatible with the F ( 3 , 1 ) -structure on the Lagrangian spaces.”

Displaying similar documents to “Linear connections compatible with the $F (3, 1)$ -structure on the Lagrangian spaces.”