18 citations · 106 across the 56 of their papers we have counts for
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Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry
Gheorghe Atanasiu, Mircea Neagu
In this paper we study some geometrical objects (d-tensors, multi-time semisprays of polymomenta and nonlinear connections) on the dual 1-jet vector bundle $J^{1*}(\cal{T}, M)\to \…
Distinguished Torsion, Curvature and Deflection Tensors in the Multi-Time Hamilton Geometry
Gheorghe Atanasiu, Mircea Neagu
The aim of this paper is to present the main geometrical objects on the dual 1-jet bundle (this is the polymomentum phase space of the De Donder-Weyl covariant…
Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology
Ileana Rodica Nicola, Mircea Neagu
The aim of this paper is to construct a natural Riemann-Lagrange differential geometry on 1-jet spaces, in the sense of nonlinear connections, generalized Cartan connections, d-tor…
Jet Berwald-Riemann-Lagrange Geometrization for Affine Maps between Finsler Manifolds
Mircea Neagu
In this paper we introduce a natural definition for the affine maps between two Finsler manifolds and and we give some geometrical properties of these affin…
On Cartan Spaces with the -th Root Metric
Gheorghe Atanasiu, Mircea Neagu
The aim of this paper is to expose some geometrical properties of the locally Minkowski-Cartan space with the Berwald-Moor metric of momenta. This space is regarded as a particular…
Jet Geometrical Objects Depending on a Relativistic Time
Mircea Neagu
In this paper we study a collection of jet geometrical concepts, we refer to d-tensors, relativistic time dependent semisprays, harmonic curves and nonlinear connections on the 1-j…