From Euler-Lagrange equations to canonical nonlinear connections
The aim of this paper is to construct a canonical nonlinear connection on the 1-jet space from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
Ricci and Bianchi identities for -normal -linear connections on .
From first order PDE-systems to harmonic maps between generalized Lagrange spaces.
Riemann-Lagrange geometrical background for multi-time physical fields.
Torsion, curvature and deflection -tensors on .
A Riemann-Lagrange geometrization for metrical multi-time Lagrange spaces.
Canonical nonlinear connections in the multi-time Hamilton geometry.
Jet geometrical extension of the KCC-invariants.
Geometric dynamics of calcium oscillations ODEs systems.
Multi-time sprays and -traceless maps on .
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