Results 41 to 50 of about 567 (106)

Weak Lie Symmetry and extended Lie algebra

open access: yes, 2012
The concept of weak Lie motion (weak Lie symmetry) is introduced through ${\cal{L}}_{\xi}{\cal{L}}_{\xi}g_{ab}=0,$ (${\cal{L}}_{\xi}{\cal{L}}_{\xi}f=0$). Applications are given which exhibit a reduction of the usual symmetry, e.g., in the case of the the
Goenner, Hubert F. M.
core   +1 more source

Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes

open access: yes, 2003
We show that the classification of Kantowski-Sachs, Bianchi Types I and III spacetimes admitting Matter Collineations (MCs) presented in a recent paper by Camci et al. [Camci, U., and Sharif, M.
G. S. Hall   +4 more
core   +1 more source

Lie and Noether symmetries of geodesic equations and collineations

open access: yes, 2011
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 Killing vectors) of the metric.
A. Barnes   +20 more
core   +1 more source

Conformal Isometries and Curvature Collineations of an Impulsive Plane Wave: a distributional approach

open access: yes, 2021
By extending the notion of Lie derivative to distribution-valued tensor fields of order $m$, Lie derivatives with respect to $C^k$ vector fields, $k\geqslant m+1$, can be shown to be well defined. Geometric symmetries, definable in terms of these Lie derivatives, can then be considered.
Calles, Juan, Pantoja, Nelson
openaire   +2 more sources

Autonomous three dimensional Newtonian systems which admit Lie and Noether point symmetries

open access: yes, 2012
We determine the autonomous three dimensional Newtonian systems which admit Lie point symmetries and the three dimensional autonomous Newtonian Hamiltonian systems, which admit Noether point symmetries.
Andronikos Paliathanasis   +10 more
core   +1 more source

Teleparallel Killing Vectors of the Einstein Universe

open access: yes, 2007
In this short paper we establish the definition of the Lie derivative of a second rank tensor in the context of teleparallel theory of gravity and also extend it for a general tensor of rank $p+q$.
Camci U.   +8 more
core   +1 more source

Symmetries of geodesic motion in G\"{o}del-type spacetimes

open access: yes, 2014
In this paper, we study Noether gauge symmetries of geodesic motion for geodesic Lagrangian of four classes of metrics of G\"{o}del-type spacetimes for which we calculated the Noether gauge symmetries for all classes I-IV, and find the first integrals of
Camci, U.
core   +1 more source

On the general structure of Ricci collineations for type B warped spacetimes

open access: yes, 2004
A complete study of the structure of Ricci collineations for type B warped spacetimes is carried out. This study can be used as a method to obtain these symetries in such spacetimes.
Apostolopoulos P. S.   +10 more
core   +1 more source

Projective Motion, Projective Curvature Collineation and Infinitesimal Projective Transformation in a Finsler Space Equipped with Semi-Symmetric Connection

open access: yesInternational Journal of Scientific Research in Science and Technology, 2020
The present communication has been devoted to the study of projective motion, projective curvature collineation and infinitesimal projective transformation in a Finsler space equipped with semi-symmetric connection. In this communication we have derived results in the form of theorems which hold when the Finsler space under consideration admits both ...
S. K. Tiwari, Ved Mani
openaire   +1 more source

Classification of Static Plane Symmetric Spacetimes according to their Matter Collineations

open access: yes, 2003
In this paper we classify static plane symmetric spacetimes according to their matter collineations. These have been studied for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate.
Camci U.   +13 more
core   +1 more source

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