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

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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