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Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square. (English) Zbl 1060.53025

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.

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53A40 Other special differential geometries
53A60 Differential geometry of webs
53B25 Local submanifolds
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