Closed essential surfaces in hyperbolizable acylindrical 3-manifolds

We show that a compact hyperbolizable acylindrical 3-manifold with non-empty incompressible boundary, in which every boundary component has genus at least two, necessarily contains a closed immersed essential surface.

Bibliographic Details
Main Author: Anderson, James W. (Author)
Format: Article
Language:English
Published: 1998.
Subjects:
Online Access:Get fulltext
Description
Summary:We show that a compact hyperbolizable acylindrical 3-manifold with non-empty incompressible boundary, in which every boundary component has genus at least two, necessarily contains a closed immersed essential surface.