The Lie symmetries of the geodesic equations in a Riemannian space are computed in
terms of the special projective group and its degenerates (affine vectors, homothetic vector …

It is shown that the Lie and the Noether symmetries of the equations of motion of a
dynamical system whose equations of motion in a Riemannian space are of the form ̈ x^ i+ …

We propose to use dynamical symmetries of the field equations, in order to classify the dark
energy models in the context of scalar field (quintessence or phantom) Friedmann-Lemaître …

We determine the Lie point symmetries of the Schrödinger and the Klein–Gordon equations
in a general Riemannian space. It is shown that these symmetries are related with the …

The integrals of the motion associated with conformal Killing vectors of a curved space–time
with an additional electromagnetic background are studied for massive particles. They …

We give two theorems which show that the Lie point and the Noether symmetries of a
second-order ordinary differential equation of the form DDs (Dxi (s) Ds)= F (xi (s), ẋj (s)) are …

This paper deals with the interaction between the invariance group of a second order
differential equation and its variational formulation. In particular I construct equivalent …

We prove a theorem which relates the Lie symmetries of the geodesic equations in a
Riemannian space with the collineations of the metric. We apply the results to Einstein …

In my thesis, I present one particular example of the formalism capable of describing the
propagation of a family of light rays in a curved spacetime. It is based on the resolvent …

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