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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:
53C50Lorentz manifolds, manifolds with indefinite metrics
53B30Lorentz metrics, indefinite metrics
53C20Global Riemannian geometry, including pinching
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References:
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[9] Ehrlich, P. E.; Jung, Y. T.; Kim, S. B.: Constant curvatures on some warped product manifolds. Tsukuba J. Math. 20, No. 1, 239-256 (1996) · Zbl 0893.53016
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