Results 1 to 10 of about 90 (87)
Hypersurfaces in a conformally flat space with curvature collineation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non-diagonalizable shape operators.
K. L. Duggal, R. Sharma
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WEYL COLLINEATIONS THAT ARE NOT CURVATURE COLLINEATIONS [PDF]
International Journal of Modern Physics D, 2005 Though the Weyl tensor is a linear combination of the curvature tensor, Ricci tensor and Ricci scalar, it does not have all and only the Lie symmetries of these tensors since it is possible, in principle, that "asymmetries cancel." Here we investigate if, when and how the symmetries can be different.
Hussain, Ibrar +2 more
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CURVATURE AND WEYL COLLINEATIONS OF SPACETIMES [PDF]
The Twelfth Marcel Grossmann Meeting, 2012 Lie symmetries of various geometrical and physical quantities in general relativity play an important role in understanding the curvature structure of manifolds. The Riemann curvature and Weyl tensors are two fourth-rank tensors in the theory. Interrelations between the symmetries of these two tensors (known as collineations) are studied.
Kashif, A. R., Saifullah, K.
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PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES [PDF]
International Journal of Modern Physics A, 2008 A study of nonstatic spherically symmetric space–times according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. Studying proper curvature collineations in each case of the above space–times it is shown that when the above space–times admit proper curvature collineations ...
Shabbir, Ghulam, Ramzan, M.
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Curvature and Weyl collineations of Bianchi type V spacetimes
Journal of Geometry and Physics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Camci, U., Hussain, I., Kucukakca, Y.
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On 4-Dimensional Lorentzian Manifolds with Pseudo W2-Curvature Tensor in General Relativity
AxiomsThe present paper is devoted to the study of Lorentzian spacetimes endowed with the pseudo W2-curvature tensor. We investigate the geometric and symmetry properties of pseudo W2-flat spacetimes and establish several results concerning their curvature ...
Laltluangkima Chawngthu +3 more
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PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES [PDF]
Modern Physics Letters A, 2007 A study of Kantowski–Sachs and Bianchi type III spacetimes according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. It is shown that when the above spacetimes admit proper curvature collineations, they form an infinite dimensional vector space.
Shabbir, Ghulam, Mehmood, Abu Bakar
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Curvature collineations for type-N Robinson-Trautman space-times [PDF]
General Relativity and Gravitation, 1983 The metric of type-N Robinson-Trautman space-times is generated by a real functionP satisfying certain field equations. Canonical forms forP are obtained under the assumption that at least one curvature collineation exists. In order to give an example of the improper subgroup structure of a group of curvature collineations all the curvature ...
Vaz, E. G. L. R., Collinson, C. D.
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Curvature collineations on Lie algebroid structure
, 2014 Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.
Arcus, C. M., Peyghan, E., Sharahi, E.
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Special Recurrent Transformation in an NPR-Finsler Space
Cubo, 2012 In this paper, an infinitesimal transformation , where the vector vi is recurrent has been considered in an NPR- Finsler space. Such transformation is being called special recurrent transformation if the recurrence vector of the NPR- Finsler space is Lie
Anjali Goswami
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