Głogowska, Małgorzata Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square. (English) Zbl 1060.53025 Publ. Inst. Math., Nouv. Sér. 72(86), 95-106 (2002). From the author’s abstract: The curvature properties of semi-Riemannian manifolds \((M,g)\) (\(n\geq4\)), whose Weyl curvature tensor \(C\) can be expressed by a Kulkarni-Nomizu square of the tensor \(S-\frac\kappa{n-1}g\), are investigated. Besides, the problem of isometric immersion of such manifolds into space forms, is also considered. Reviewer: Miroslava Torgašev-Petrović (Kragujevac) Cited in 27 Documents MSC: 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 53A40 Other special differential geometries 53A60 Differential geometry of webs 53B25 Local submanifolds Keywords:semi-symmetric manifold; essentially conformally symmetric manifold; hypersurface; almost Grassmann structure PDFBibTeX XMLCite \textit{M. Głogowska}, Publ. Inst. Math., Nouv. Sér. 72(86), 95--106 (2002; Zbl 1060.53025) Full Text: DOI EuDML