We consider orientable closed connected 3-manifolds obtained by Dehn surgeries with rational coefficients along the components of certain periodic links. These manifolds extend many classes of (hyperbolic) manifolds considered by several authors (see the references). We find geometric presentations of the fundamental group of such manifolds, and study some covering properties of them. Then we obtain results on their geometric structures in many cases.
Dehn surgeries on periodic links / E., Barbieri; Cavicchioli, Alberto; Spaggiari, Fulvia. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 279 (No. 5-6):(2006), pp. 477-489. [10.1002/mana.200310372]
Dehn surgeries on periodic links
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2006
Abstract
We consider orientable closed connected 3-manifolds obtained by Dehn surgeries with rational coefficients along the components of certain periodic links. These manifolds extend many classes of (hyperbolic) manifolds considered by several authors (see the references). We find geometric presentations of the fundamental group of such manifolds, and study some covering properties of them. Then we obtain results on their geometric structures in many cases.
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