# NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON SEMI-RIEMANNIAN MANIFOLDS

• Jung, Yoon-Tae (Department of Mathematics, Chosun University) ;
• Kim, Yun-Jeong (Department of Mathematics, Chosun University)
• Published : 2000.05.01
• 48 3

#### 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

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