CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)

Jung, Yoon-Tae; Jung, Yoon-Tae; Lee, Soo-Young; Lee, Soo-Young; Shin, Mi-Hyun; Shin, Mi-Hyun

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P-ISSN3059-0604
E-ISSN3059-1309
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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.

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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

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Article Contents

Vol.10 No.2

CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)

Abstract

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