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2021•Journal of New TheoryOpen access

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

Ramazan Sarı

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Abstract

In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection. Later, we introduce base manifold to be a local product manifold with semi-symmetric non-metric connection.

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In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection. Later, we introduce base manifold to be a local product manifold with semi-symmetric non-metric connection.

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Available abstract

In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection. Later, we introduce base manifold to be a local product manifold with semi-symmetric non-metric connection.

Key concepts: Fundamental theorem of Riemannian geometry, Levi-Civita connection, Metric connection, Mathematics, Pseudo-Riemannian manifold, Connection (principal bundle), Hermitian manifold, Statistical manifold

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