@article{article_581485, title={A new connection in a Riemannian manifold}, journal={International Electronic Journal of Geometry}, volume={1}, pages={15–24}, year={2008}, author={Mani Tripathi, Mukut}, keywords={Hayden connection,Levi-Civita connection,Weyl connection,semi- symmetric connection,semi-symmetric metric connection,semi-symmetric non-metric connection,semi-symmetric recurrent-metric connection,quarter-symmetric connection,quarter-symmetric metric connection,Ricci quarter-symmetric metric connection,quarter-symmetric non-metric con- nection,quarter-symmetric recurrent-metric connection}, abstract={<div>In a Riemannian manifold, the existence of a new connection is </div> <div>proved. In particular cases, this connection reduces to several symmetric, </div> <div>semi-symmetric and quarter-symmetric connections; even some of them are </div> <div>not introduced so far. We also found formula for curvature tensor of this new </div> <div>connection. </div>}, number={1}, publisher={Kazım İlarslan}