한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제10권2호
  • /
  • Pages.119-126
  • /
  • 2003
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (II)

  • 발행 : 2003.05.01
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초록

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.

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