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Constant scalar curvature and warped product globally null manifolds. (English) Zbl 1025.53040
The author describes an infinite family of light-like warped products of the form $M= L \times b \times_f F$ ($B$ being a Riemann surface and $F=(a, b)$ -- an open interval) of dimension $4$ and constant scalar curvature.

##### MSC:
 53C50 Lorentz manifolds, manifolds with indefinite metrics 53B30 Lorentz metrics, indefinite metrics 53C20 Global Riemannian geometry, including pinching
##### Keywords:
Lorentz geometry; warped product; scalar curvature
Full Text:
##### References:
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