2005•Mathematical and Computational ApplicationsOpen access

Weyl Manifolds with Semi-Symmetric Connection

Füsun Ünal, Aynur S. Uysal

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Abstract

We define a semi-symmetric connection on a Weyl manifold and study projective curvature tensor and conformal curvature tensor after giving some properties of the curvature tensor with respect to semi-symmetric connection.

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We define a semi-symmetric connection on a Weyl manifold and study projective curvature tensor and conformal curvature tensor after giving some properties of the curvature tensor with respect to semi-symmetric connection.

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Available abstract

We define a semi-symmetric connection on a Weyl manifold and study projective curvature tensor and conformal curvature tensor after giving some properties of the curvature tensor with respect to semi-symmetric connection.

Key concepts: Riemann curvature tensor, Ricci decomposition, Weyl tensor, Connection (principal bundle), Curvature of Riemannian manifolds, Weyl transformation, Mathematics, Curvature

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