18 citations · 106 across the 56 of their papers we have counts for
56 papers
Optics in nonuniform media and Lagrange geometry
M. Neagu, N. G. Krylova, E. M. Ovsiyuk +1
In this paper the equations of motion associated with a Lagrangian inspired by relativistic optics in nonuniform moving media are considered. The model describes optical effects in…
The m-th root Finsler geometry of the Bogoslovsky-Goenner metric
Mircea Neagu
In this paper we present the m-th root Finsler geometries of the three and four dimensional Bogoslovsky-Goenner metrics (good Finslerian anisotropic models in Special Relativity),…
A distinguished geometry perspective on multi-time affine quadratic Lagrangians
Mircea Neagu
For a space endowed with a general quadratic multi-time Lagrangian and an associated non-linear connection, the paper constructs the main Riemann-Lagrange distinguished geometric o…
Riemann-Lagrange geometry for starfish-coral dynamical system
Mircea Neagu
In this paper we develop the Riemann-Lagrange geometry, in the sense of nonlinear connection, d-torsions, d-curvatures and jet Yang-Mills entity, associated with the dynamical syst…
Dual jet geometrical objects of momenta in the time-dependent Hamilton geometry
Mircea Neagu, Alexandru Oana
The aim of this paper is to obtain on the dual 1-jet space J^{1*}(R;M) the main geometrical objects used in the dual jet geometry of time-dependent Hamiltonians. We talk about dist…
Multiple-relaxation-time Finsler-Lagrange dynamics in a compressed Langmuir monolayer
V. Balan, H. V. Grushevskaya, N. G. Krylova +1
In this paper an information geometric approach has been proposed to describe the two-dimensional (2d) phase transition of the first order in a monomolecular layer (monolayer) of a…