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

ISSN : 3059-0604

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Vol.5 No.2

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1998, v.5 no.2, pp.115-122
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 Mathematics, Chosun University)
Jung, Yoon-Tae, Kim, Yun-Jeong, Lee, Soo-Young, & Shin, Cheol-Guen. (1998). PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURE ON SEMIRIEMANNIAN MANIFOLDS(I), 5(2), 115-122.

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 $M{\;}={\;}[a,{\;}{\infty}){\times}_f{\;}N$ with specific scalar curvatures.

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

한국수학교육학회지시리즈B:순수및응용수학

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