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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.6 No.2

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PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURE ON SEMIRIEMANNIAN MANIFOLDS (II)

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1999, v.6 no.2, pp.95-101
Jung, Yoon-Tae (Department of Mathematics, Chosun University)
Kim, Yun-Jeong (Department of Mathematics, Chosun University)
Lee, Soo-Young (Department of Mathematics, Chosun University)
Shin, Cheol-Guen (Department of Architectural Design, Sunchon College)
Jung, Yoon-Tae, Kim, Yun-Jeong, Lee, Soo-Young, & Shin, Cheol-Guen. (1999). PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURE ON SEMIRIEMANNIAN MANIFOLDS (II), 6(2), 95-101.

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 complete Lorentzian metrics on $M{\;}={\;}[\alpha,\infty){\times}_f{\;}N$ with specific scalar curvatures.

keywords
warped product, scalar curvature, upper and lower solution method

한국수학교육학회지시리즈B:순수및응용수학

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