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

ISSN : 3059-0604

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Vol.10 No.2

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CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (II)

CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2003, v.10 no.2, pp.119-126
Jung, Yoon-Tae (Department of Mathematics, Chosun University)
Lee, Soo-Young (Department of Mathematics, Chosun University)
Shin, Mi-Hyun (Department of Mathematics, Chosun University)
Jung, Yoon-Tae, Lee, Soo-Young, & Shin, Mi-Hyun. (2003). CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (II), 10(2), 119-126.

Abstract

In this paper, when N is a compact Riemannian manifold, we considered the positive time solution to equation $\Box_gu(t,x)-c_nu(t,x)+c_nu(t,x)^{(n+3)/(n-1)}$ on M ＝$(-{\infty},+{\infty})\;{\times}_f\;N$, where $c_n$ ＝(n－1)/4n and $\Box_{g}$ is the d'Alembertian for a Lorentzian warped manifold.

keywords
conformal deformation, warped product manifold, complete Lorentzain metric

한국수학교육학회지시리즈B:순수및응용수학

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