Results 1 to 10 of about 507 (127)
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.
Ibrar Hussain +2 more
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A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]
Int Sch Res Notices, 2016 We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi‐Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect ...
Duggal KL.
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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 ...
GHULAM SHABBIR, M. RAMZAN
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Conformal vector fields on doubly warped product manifolds and applications [PDF]
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 In this article, we present a complete study of two disjoint classes of conformal vector fields on doubly warped product manifolds as well as on doubly warped space-times.
El-Sayied, H. K. +2 more
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Conformal Isometries and Curvature Collineations of an Impulsive Plane Wave: a distributional approach [PDF]
, 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.
Juan Calles, Nelson Pantoja
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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 ...
E. G. L. R. Vaz, C. D. Collinson
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Curvature collineations on Lie algebroid structure [PDF]
, 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.
Constantin M. Arcuş +2 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.
Ghulam Shabbir, ABU BAKAR MEHMOOD
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A note on proper curvature collineations in Bianchi types VI_{0} and\n VII_{0} space-times [PDF]
, 2015 8 pages.
Ghulam Shabbir, Amjad Ali
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