18 citations · 106 across the 56 of their papers we have counts for
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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…
On the symmetry group of the n-dimensional Berwald-Moor metric
Hengameh Raeisi-Dehkordi, Mircea Neagu
In this paper we parametrize the symmetry group of the n-dimensional Berwald-Moor metric. Some properties of this Lie group are studied, and its corresponding Lie algebra is comput…
Jet Riemann-Hamilton geometrization for the conformal deformed Berwald-Moor quartic metric depending on momenta
Alexandru Oana, Mircea Neagu
In this paper we expose on the dual 1-jet space J^{1*}(R,M^4) the distinguished (d-) Riemannian geometry (in the sense of d-connection, d-torsions, d-curvatures and some gravitatio…
A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta
Alexandru Oana, Mircea Neagu
In this paper we construct a distinguished Riemannian geometrization on the dual 1-jet space J^{1*}(T,M) for the multi-time quadratic Hamiltonian functions. Our geometrization incl…
From a dynamical system of the knee to natural jet geometrical objects
Mircea Neagu, Mihaela Maria Marin
In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and…
The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)
Alexandru Oana, Mircea Neagu
In this paper we describe the local Ricci and Bianchi identities for an h-normal N-linear connection DΓ(N) on the dual 1-jet space J^{1*}(T,M). To reach this aim, we firstly give t…