Nonlinear partial differential equations on semi-Riemannian manifolds
Bull. Korean Math. Soc. 2000 Vol. 37, No. 2, 317-336
Yoon-Tae Jung and Yun-Jeong Kim
Chosun University, Chosun University
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 $ M = (-\infty, \infty) \times_f N$ with specific scalar curvatures.
Keywords : warped product, scalar curvature, upper and lower solution method
MSC numbers : 53C21, 53C50, 58C35, 58J05
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