2020FilomatOpen access

Geometries for a mutual connection of semi-symmetric metric recurrent connections

Di Zhao, Talyun Ho, An Hyon

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Abstract

A semi-symmetric metric recurrent connection has already been studied. In this paper we newly discovered geometrical properties and conjugate symmetric condition for the mutual connection of a semi-symmetric metric recurrent connection in a Riemannian manifold.

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What this paper is about

A semi-symmetric metric recurrent connection has already been studied. In this paper we newly discovered geometrical properties and conjugate symmetric condition for the mutual connection of a semi-symmetric metric recurrent connection in a Riemannian manifold.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A semi-symmetric metric recurrent connection has already been studied. In this paper we newly discovered geometrical properties and conjugate symmetric condition for the mutual connection of a semi-symmetric metric recurrent connection in a Riemannian manifold.

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

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