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Closed essential surfaces in hyperbolizable acylindrical 3-manifolds

Closed essential surfaces in hyperbolizable acylindrical 3-manifolds
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.
0030-8730
1-19
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98

Anderson, James W. (1998) Closed essential surfaces in hyperbolizable acylindrical 3-manifolds. Pacific Journal of Mathematics, 183 (1), 1-19.

Record type: Article

Abstract

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.

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Published date: 1998

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Local EPrints ID: 29869
URI: https://eprints.soton.ac.uk/id/eprint/29869
ISSN: 0030-8730
PURE UUID: 04a62b9a-3439-47f8-a114-f9da91b0cdd5
ORCID for James W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

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Date deposited: 08 Jan 2007
Last modified: 06 Jun 2018 13:03

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