CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

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). 한국수학교육학회지시리즈B:순수및응용수학, 10(2), 119-126.

복사

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

바로가기메뉴

논문 상세

Vol.10 No.2

CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (II)

CONFORMAL DEFORMATION ONA SEMI-RIEMANNIAN MANIFOLD (II)

Abstract

한국수학교육학회지시리즈B:순수및응용수학