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2023•Thermal ScienceOpen access

Riemannian submersions endowed with a new type of semi-symmetric non-metric connection

Esra Karataş, Semra Zeren, Mustafa Altın

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Abstract

In this paper we study relations for the covariant derivative of O?Neill?s tensor fields, Riemannian curvature, Ricci curvature and scalar curvature of the Riemannian submersion from a Riemannian manifold with respect to a new type of semi-symmetric non-metric connection to a Riemannian manifold, respectively, and demonstrate the relationship between them.

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In this paper we study relations for the covariant derivative of O?Neill?s tensor fields, Riemannian curvature, Ricci curvature and scalar curvature of the Riemannian submersion from a Riemannian manifold with respect to a new type of semi-symmetric non-metric connection to a Riemannian manifold, respectively, and demonstrate the relationship between them.

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Available abstract

In this paper we study relations for the covariant derivative of O?Neill?s tensor fields, Riemannian curvature, Ricci curvature and scalar curvature of the Riemannian submersion from a Riemannian manifold with respect to a new type of semi-symmetric non-metric connection to a Riemannian manifold, respectively, and demonstrate the relationship between them.

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

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