A study of W8-curvature tensor in K-contact riemannian manifold
Abstract
In this paper, W8 - curvature tensor is studied in K-contact Riemannian manifold. The semi-symmetric and symmetric and flatness properties with respect to the W8 - curvature tensor are also studied.Preliminaries Let be -dimensional almost contact Riemannian manifold consisting of a (1,1) tensor field , a vector field , a 1-form and a Riemannian metric . , , , , (1.1) (Pokhariyal) [4]
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- Geometric and Physical Properties of Curvature Tensors -A Review ↗
Ganesh P. Pokhariyal · JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES · 2023
Bernard Riemann was the first to define curvature tensor. Most of the curvature tensors are defined with the help of Riemann curvaturetensor, 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.M.S.C. 2010:53C25, 53C43.
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