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Boundary curves of essential surfaces in acylindrical 3-manifolds

Published online by Cambridge University Press:  10 March 2003

KAZUHIRO ICHIHARA
KAZUHIRO ICHIHARA
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Ookayama 2-12-1, Meguro, Tokyo 152-8551, Japan. e-mail: [email protected]
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Abstract

We give examples of acylindrical 3-manifolds such that every non-trivial closed curve on the boundary can appear as a boundary component of an immersed essential surface.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 1 , January 2003 , pp. 115 - 128
Copyright
2003 Cambridge Philosophical Society

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