Some properties of a Ricci quarter symmetric metric connection in a Riemannian manifold
type: Item
instance of: scholarly article
title: Some properties of a Ricci quarter symmetric metric connection in a Riemannian manifold
zbMATH Open document ID: 0821.53032
author: D. Kamilya
author: Uday Chand De
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-04-04T00:00:00Z
review text: Let \((M,g)\) be a Riemannian manifold and denote by \(L\) its Ricci tensor of type \((1,1)\). A linear metric connection \(\overline{\nabla}\) on \((M,g)\) is said to be Ricci quarter symmetric connection if its torsion \(T\) satisfies \(T(X,Y) = \pi(Y)LX - \pi(X)LY\) where \(\pi\) is a one-form. The authors derive several properties related to the curvature, conformal curvature and Ricci tensor of \(\overline{\nabla}\) when \((M,g)\) is an Einstein space.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 740382
zbMATH Keywords: Ricci quarter symmetric connection
zbMATH Keywords: conformal curvature
zbMATH Keywords: Ricci tensor
zbMATH Keywords: Einstein space
reviewed by: Lieven Vanhecke
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 740382