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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1998, v.5 no.2, pp.115-122
Jung, Yoon-Tae
Kim, Yun-Jeong
Lee, Soo-Young
Shin, Cheol-Guen
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Abstract

In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct timelike or null future(or past) complete Lorentzian metrics on <TEX>$M{\;}={\;}[a,{\;}{\infty}){\times}_f{\;}N$</TEX> with specific scalar curvatures.

keywords
Warped product, Scalar curvature, Upper and lower solution method

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics