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arXiv · 1212.4748

On a Semi-symmetric Non-metric Connection Satisfying the Schur`s Theorem on a Riemannian Manifold

Ho Tal Yun
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Abstract

In 1992, Agache and Chaple introduced the concept of a semi-symmetric non-metric connection([1]). The semi-symmetric non-metric connection does not satisfy the Schur`s theorem. The purpose of the present paper is to study some properties of a new semi-symmetric non-metric connection satisfying the Schur`s theorem in a Riemannian manifold. And we considered necessary and sufficient condition that a Riemannian manifold with a semi-symmetric non-metric connection be a Riemannian manifold with constant curvature.

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Ho Tal Yun. 2012-12-19. On a Semi-symmetric Non-metric Connection Satisfying the Schur`s Theorem on a Riemannian Manifold. https://arxiv.org/abs/1212.4748

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