Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONFORMAL DEFORMATION ON A SEMI-RIEMANNIAN MANIFOLD (I)

  • Jung, Yoon-Tae (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY, KWANGJU, KOREA) ;
  • Lee, Soo-Young (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY, KWANGJU, KOREA)
  • Published : 2001.05.01
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Abstract

In this parper, we considered the uniqueness of positive time-solution to equation ${\Box}_g$u(t,$\chi$) - $c_n$u(t,$\chi$) + $c_n$u(t,$\chi$)$^[\frac{n+3}{n-3}]$ = 0, where $c_n$ = $\frac{n-1}{4n}$ and ${\Box}_g$ is the d'Alembertian for a Lorentzian warped manifold M = {a,$\infty$] $\times_f$ N.

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