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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 ONA SEMI-RIEMANNIAN MANIFOLD (II)

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Lee, Soo-Young
Shin, Mi-Hyun
Jung,, Y. , Lee,, S. , & Shin,, M. (2003). CONFORMAL DEFORMATION ONA 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 <TEX>$\Box_gu(t,x)-c_nu(t,x)+c_nu(t,x)^{(n+3)/(n-1)}$</TEX> on M ＝<TEX>$(-{\infty},+{\infty})\;{\times}_f\;N$</TEX>, where <TEX>$c_n$</TEX> ＝(n－1)/4n and <TEX>$\Box_{g}$</TEX> is the d'Alembertian for a Lorentzian warped manifold.

keywords
conformal deformation, warped product manifold, complete Lorentzain metric

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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