Results 11 to 20 of about 507 (127)
The Riemann tensor, the metric tensor, and curvature collineations in general relativity [PDF]
Journal of Mathematical Physics, 1982 The equation xμνRμ λαβ+xμλRμ ναβ = 0, where xμν and Rμ ναβ are the components of an arbitrary symmetric tensor and of the Riemann tensor formed from the metric tensor gμν, is trivially satisfied by xμν = φgμν. Nontrivial solutions are important in various areas of general relativity such as in the study of curvature collineations, and also in the study
C. B. G. McIntosh, W. D. Halford
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A note on proper curvature collineations in Bianchi type IV space-times [PDF]
, 2015 9 pages.
Ghulam Shabbir, Amjad Ali
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Proper curvature collineations in non-static plane symmetric space-times [PDF]
, 2015 The most general form of non-static plane symmetric space-times is considered to study proper curvature collineations by using the rank of the 6X6 Riemann matrix and direct integration techniques. Studying proper curvature collineations in each non static case of the above space-times it is shown that when the above space-times admit proper curvature ...
Ghulam Shabbir, Muhammad Ramzan
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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.
A. R. Kashif, Khalid Saifullah
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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.
Uğur Camcı +2 more
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International 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
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Proper Curvature Collineations of Plane Symmetric Static Spacetime in F(R) Theory of Gravity
SINDH UNIVERSITY RESEARCH JOURNAL -SCIENCE SERIES, 2018 The 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
Muhammad Ramzan +2 more
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On curvature collineations on simple conformally recurrent manifolds [PDF]
Colloquium Mathematicum, 1989 Marian Hotloś
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African Journal of Ecology, Volume 60, Issue 4, Page 1133-1142, December 2022., 2022 Abstract Artemisia afra was identified as an encroaching shrub in the Klipriviersberg Nature Reserve (KNR). Ecological factors that influence the encroachment of A. afra and its population structure were unknown, making it difficult to monitor and control the spread of the plant.
Kgalalelo T. A. Setshedi +2 more
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Curvature Inheritance Symmetry In Riemannian Spaces with Applications to String Cloud and String Fluids [PDF]
, 1999 We study, in this paper, curvature inheritance symmetry (CI), $\pounds_{\xi}R_{bcd}^{a}=2\alpha R_{bcd}^{a}$, where $\alpha $ is a scalar function, for string cloud and string fluid in the context of general relativity. Also, we have obtained some result
HÜSNÜ BAYSAL +6 more
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