Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary

Abstract: This is the third in a series of papers constructing hyperbolic structures on all Haken three-manifolds. This portion deals with the mixed case of the deformation space for manifolds with incompressible boundary that are not acylindrical, but are more complicated than interval bundles over surfaces. This is a slight revision of a 1986 preprint, with a few figures added, and slight clarifications of some of the text, but with no attempt to connect this to later developments such as groups acting on R-trees, etc.

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

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