Volume 4 (2000)
Download this article
For printing
Recent Issues

Volume 17 (2013)
Issue 1 1–620
Issue 2 621–

Volume 16 (2012) 1–4

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

On the geometric boundaries of hyperbolic 4–manifolds

Darren D Long and Alan W Reid

Geometry & Topology 4 (2000) 171–178

DOI: 10.2140/gt.2000.4.171

arXiv: math.GT/0007197
Abstract

We provide, for hyperbolic and flat 3–manifolds, obstructions to bounding hyperbolic 4–manifolds, thus resolving in the negative a question of Farrell and Zdravkovska.

Keywords

hyperbolic 3–manifold, flat manifold, totally geodesic, η–invariant
Mathematical Subject Classification

Primary: 57R90

Secondary: 57M50
References
Forward citations
Publication

Received: 18 June 2000
Accepted: 19 July 2000
Published: 19 July 2000
Proposed: Walter Neumann
Seconded: Jean-Pierre Otal, Robion Kirby
Authors
Darren D Long
Department of Mathematics
University of California
Santa Barbara
California 93106
USA
Alan W Reid
Department of Mathematics
University of Texas
Austin
Texas 78712
USA