2022International Journal of Analysis and ApplicationsOpen access

Fractional Order Riemann Curvature Tensor in Differential Geometry

Wedad Saleh

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Abstract

This study discussed some interesting aspects and features of fractional curvature in the differential manifold. In particular, Riemannian fractional curvature tensor, Livi-Civita fractional connection and Bianchi fractional identity are presented.

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This study discussed some interesting aspects and features of fractional curvature in the differential manifold. In particular, Riemannian fractional curvature tensor, Livi-Civita fractional connection and Bianchi fractional identity are presented.

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Available abstract

This study discussed some interesting aspects and features of fractional curvature in the differential manifold. In particular, Riemannian fractional curvature tensor, Livi-Civita fractional connection and Bianchi fractional identity are presented.

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

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