English

A new connection in a Riemannian manifold

Differential Geometry 2008-02-06 v1 Mathematical Physics math.MP

Abstract

In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find formula for curvature tensor of this new connection.

Keywords

Cite

@article{arxiv.0802.0569,
  title  = {A new connection in a Riemannian manifold},
  author = {Mukut Mani Tripathi},
  journal= {arXiv preprint arXiv:0802.0569},
  year   = {2008}
}

Comments

14 pages. to appear in International Electronic Journal of Geometry