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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.
목차
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참고문헌 (9)
참고문헌 신청
A. Miller / 1989 / Large groups of symmetries of handlebodies / Proc. Amer. Math. Soc. 106 (3) : 829 ~ 838
B. Zimmermann / 1996 / Genus actions of finite groups on 3-manifolds / Michigan Math. J. 43 (3) : 593 ~ 610
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc. 59 (2) : 373 ~ 416
E. Klimenko / / Two-generator Kleinian orbifolds
J. P. Serre / 2003 / Trees / Springer-Verlag
B. Zimmermann / 1996 / Genus actions of finite groups on 3-manifolds / Michigan Math. J. 43 (3) : 593 ~ 610
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc. 59 (2) : 373 ~ 416
E. Klimenko / / Two-generator Kleinian orbifolds
J. P. Serre / 2003 / Trees / Springer-Verlag
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