137 citations · 308 across the 3 of their papers we have counts for
3 papers
astro-ph.CO2011★ 137 cited
Using the Noether symmetry approach to probe the nature of dark energy
S. Basilakos, M. Tsamparlis, A. Paliathanasis
We propose to use a model-independent criterion based on first integrals of motion, due to Noether symmetries of the equations of motion, in order to classify the dark energy model…
gr-qc2011★ 97 cited
Lie and Noether symmetries of geodesic equations and collineations
Michael Tsamparlis, Andronikos Paliathanasis
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 and…
math-ph2011★ 74 cited
Two dimensional dynamical systems which admit Lie and Noether symmetries
Michael Tsamparlis, Andronikos Paliathanasis
We prove two theorems which relate the Lie point symmetries and the Noether symmetries of a dynamical system moving in a Riemannian space with the special projective group and the…