Mantica, Carlo Alberto; Suh, Young Jin Conformally symmetric manifolds and quasi conformally recurrent Riemannian manifolds. (English) Zbl 1226.53007 Balkan J. Geom. Appl. 16, No. 1, 66-77 (2011). A classical theorem about conformally symmetric Riemannian metrics is as follows: An \(n\) \((\geq 4)\) dimensional conformally symmetric manifold is conformally flat or locally symmetric. Miyazawa proved this statement with the extra assumption of \(n>4\) while Derdzinski and Roter give a proof of the general case \(n>3\). The present work gives a new proof and provides extensions of it to quasi-conformal symmetric and quasi-conformal recurrent Riemannian manifolds. Reviewer: Radu Miron (Iaşi) Cited in 9 Documents MSC: 53B20 Local Riemannian geometry 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:conformal curvature tensor; quasi conformal curvature tensor; conformally symmetric; conformally recurrent; Ricci recurrent; Riemannian manifolds PDFBibTeX XMLCite \textit{C. A. Mantica} and \textit{Y. J. Suh}, Balkan J. Geom. Appl. 16, No. 1, 66--77 (2011; Zbl 1226.53007) Full Text: EMIS