%0 Journal Article %T On a Semi-symmetric Non-metric Connection Satisfying the Schur`s Theorem on a Riemannian Manifold %A Ho Tal Yun %J Physics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1212.4748v1