2009•JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCESOpen access

Riemannian Manifold with a Special Type of Semi-symmetric Non-metric Connection

Braj Bhushan Chaturvedi, P. N. Pandey

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Abstract

In the present paper, we obtain certain results for a Riemannian manifold equipped with a special type of semi-symmetric non-metric connection. We also obtain the expressions for the curvature tensor, Ricci tensor and scalar curvature, and certain results related to them.

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In the present paper, we obtain certain results for a Riemannian manifold equipped with a special type of semi-symmetric non-metric connection. We also obtain the expressions for the curvature tensor, Ricci tensor and scalar curvature, and certain results related to them.

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Available abstract

In the present paper, we obtain certain results for a Riemannian manifold equipped with a special type of semi-symmetric non-metric connection. We also obtain the expressions for the curvature tensor, Ricci tensor and scalar curvature, and certain results related to them.

Key concepts: Riemann curvature tensor, Ricci curvature, Scalar curvature, Ricci decomposition, Fundamental theorem of Riemannian geometry, Curvature of Riemannian manifolds, Mathematics, Connection (principal bundle)

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