대한수학회지 (Journal of the Korean Mathematical Society)

  • 제34권1호
  • /
  • Pages.77-86
  • /
  • 1997
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

MYRBERG-AGARD DENSITY POINTS AND SCHOTTKY GROUPS

  • 발행 : 1997.02.01
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초록

Let $\Gamma$ be a discrete subgroup of hyperbolic isometries acting on the Poincare disc $B^m, m \geq 2$. The discrete group $\Gamma$ acts properly discontinously in $B^m$, and acts on $\partial B^m$ as a group of conformal homemorphisms, but need not act properly discontinously on $\partial B^m$.

키워드

참고문헌

  1. Acta Math. v.151 A geometric proof of Mostow's rigidity theorem for groups of divergence type S. Agard
  2. Duke Math. J. v.75 Recurrent geodesics and controlled concentration points for Mobius groups B. Aebischer;S. Hong;D. McCullough
  3. The geometry of discrete groups A. F. Beardon
  4. Lectures on Low Dimensional Toplogy Controlled concentration points and groups of divergence type S. Hong
  5. Grundlehren Math. Wiss v.287 Kleinian Groups B. Maskit
  6. London Math. Soc. Lecture Note Ser. v.143 Ergodic theory of Discrete Groups P. Nicholls