• 제목/요약/키워드: complete Lorentzain metric

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CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (II)

  • Jung, Yoon-Tae;Lee, Soo-Young;Shin, Mi-Hyun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제10권2호
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    • pp.119-126
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    • 2003
  • 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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