대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권4호
  • /
  • Pages.859-893
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  • 2009
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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STRUCTURES OF GEOMETRIC QUOTIENT ORBIFOLDS OF THREE-DIMENSIONAL G-MANIFOLDS OF GENUS TWO

  • 발행 : 2009.07.01
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초록

In this article, we will characterize structures of geometric quotient orbifolds of G-manifold of genus two where G is a finite group of orientation preserving diffeomorphisms using the idea of handlebody orbifolds. By using the characterization, we will deduce the candidates of possible non-hyperbolic geometric quotient orbifolds case by case using W. Dunbar's work. In addition, if the G-manifold is compact, closed and the quotient orbifold's geometry is hyperbolic then we can show that the fundamental group of the quotient orbifold cannot be in the class D.

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참고문헌

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피인용 문헌

  1. Equivalence of ℤ4-actions on Handlebodies of Genus g vol.56, pp.2, 2016, https://doi.org/10.5666/KMJ.2016.56.2.577