Tripathi, Mukut Mani A new connection in a Riemannian manifold. (English) Zbl 1135.53007 Int. Electron. J. Geom. 1, No. 1, 15-24 (2008). Summary: 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 a formula for the curvature tensor of this new connection. Cited in 22 Documents MSC: 53B05 Linear and affine connections 53B15 Other connections Keywords:quarter-symmetric connections; curvature tensor; Hayden connection; Weyl connection; quarter-symmetric recurrent-metric connection PDFBibTeX XMLCite \textit{M. M. Tripathi}, Int. Electron. J. Geom. 1, No. 1, 15--24 (2008; Zbl 1135.53007) Full Text: arXiv