Geometric and Physical Properties of Curvature Tensors - A Review

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Published: Sep 15, 2023
Keywords:
Curvature tensors, Bianchi differential identity, Einstein’s field equations, Codazzi type, Flat space-time

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Ganesh Prasad Pokhariyal
Department of Mathematics, University of Nairobi, Kenya

Abstract

Bernard Riemann was the first to define curvature tensor. Most of the curvature tensors are defined with the help of Riemann curvature tensor, Ricci tensor and metric tensor. It has been observed that different combinations of Ricci tensor and metric tensor in the defined tensors lead to some of the different geometrical and physical properties.

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Pokhariyal GP. Geometric and Physical Properties of Curvature Tensors - A Review . J. Int. Acad. Phys. Sci. [Internet]. 2023 Sep. 15 [cited 2024 May 18];27(3):193-205. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/917
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