Hyperbolic 3-Manifolds

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1994 English Publisher:Springer International Publishing

Authors: John G. Ratcliffe;

doi: 10.1007/978-3-030-31597-9_10 , 10.1007/978-1-4757-4013-4_10

Hyperbolic 3-Manifolds

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Abstract

In this chapter, we construct some examples of hyperbolic 3-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic 3-manifolds in Sections 10.1 and 10.2. Examples of complete hyperbolic 3-manifolds of finite volume are constructed in Section 10.3. The problem of computing the volume of a hyperbolic 3-manifold is taken up in Section 10.4. The chapter ends with a detailed study of hyperbolic Dehn surgery on the figure-eight knot complement.

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Vanderbilt University
United States

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