1212.4748 (Ho Tal Yun)

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

Ho Tal Yun

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.

View original: http://arxiv.org/abs/1212.4748