Results 91 to 100 of about 567 (106)
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Proper curvature collineations in cylindrically symmetric static space-time
Il Nuovo Cimento B, 2004An approach is adopted to study proper curvature collineations in Spherically symmetric static space-times by using the rank of the 6x6 Rieman matrix. It is shown that when the above space-times admit proper curvature collineations, they form an infinite dimensional vector space.
Shabbir, G., Bokhari, A.H., Kashif, A.R.
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Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors
Journal of Mathematical Physics, 1970By definition, a Riemannian space Vn admits a symmetry called a curvature collineation (CC) if the Lie derivative with respect to some vector ξi of the Riemann curvature tensor vanishes. It is shown that if a Vn admits a parallel vector field, then it will admit groups of CC's.
Katzin, Gerald H. +2 more
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Projective curvature collineation in symmetric Finsler space
2012In this paper we study different properties of projective curvature collineations in asymmetric Finsler spaces. Several results are obtained.
PANDE, H.D., KUMAR, A., DUBEY, V.J.
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Proper curvature collineations in Bianchi type I space-times
Il Nuovo Cimento B, 2006The author studies Bianchi type I space-times according to their proper curvature collineations (CCs). These curvature collineations are vector fields along which the Lie derivative of the Riemann tensor is zero. An approach is adopted connected with using the rank of the \(6\times6\) Riemann matrix, direct integration techniques, and also the theorem ...
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Curvature collineations of non-expanding and twist-free vacuum type-N metrics in general relativity
Journal of Physics A: Mathematical and General, 1980The curvature collineation equations have been solved for the two families of Petrov type-N plane-fronted gravitational wave solutions of Einstein's vacuum field equations in general relativity. Both of these solutions always have non-trivial curvature collineations, i.e.
W D Halford +2 more
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Journal of Mathematical Physics, 1969
A Riemannian space Vn is said to admit a particular symmetry which we call a ``curvature collineation'' (CC) if there exists a vector ξi for which £ξRjkmi=0, where Rjkmi is the Riemann curvature tensor and £ξ denotes the Lie derivative. The investigation of this symmetry property of space-time is strongly motivated by the all-important role of the ...
Katzin, Gerald H. +2 more
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A Riemannian space Vn is said to admit a particular symmetry which we call a ``curvature collineation'' (CC) if there exists a vector ξi for which £ξRjkmi=0, where Rjkmi is the Riemann curvature tensor and £ξ denotes the Lie derivative. The investigation of this symmetry property of space-time is strongly motivated by the all-important role of the ...
Katzin, Gerald H. +2 more
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Proper Curvature Collineations of Plane Symmetric Static Spacetime in F(R) Theory of Gravity
SINDH UNIVERSITY RESEARCH JOURNAL -SCIENCE SERIES, 2018The purpose of this paper is to study the proper curvature collineations of plane symmetric static spacetime in f(R) theory of gravity. We have taken the metrics of both constant and non-constant curvature and formulated the curvature vector fields by using vanishing Lie derivative and direct integration technique. Here, the solutions of the Einstein’s
M. RAMZAN, A. NAZIR, M. R. MUFTI
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International Journal of Geometric Methods in Modern Physics
Proper curvature collineations (CCs) of plane-fronted gravitational waves (GWs) in [Formula: see text] gravity are addressed in this paper. We first think about vacuum classes of plane GWs and analyze their CCs using mathematical and integration methods, and we also use a [Formula: see text] Riemann curvature matrix.
Aasma Nazir +3 more
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Proper curvature collineations (CCs) of plane-fronted gravitational waves (GWs) in [Formula: see text] gravity are addressed in this paper. We first think about vacuum classes of plane GWs and analyze their CCs using mathematical and integration methods, and we also use a [Formula: see text] Riemann curvature matrix.
Aasma Nazir +3 more
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On Curvature Collineation And Conformal Motion In A Finsler Space
International Journal of Scientific and Research Publications, 2023openaire +1 more source
Projective curvature collineation and special projective motion in a Finsler space
2012In this paper different properties of projective curvature collineations and projective motions in a Finsler space and the relation between them are studied.
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