Recent Issues |
|
Volume 1, 1997 |
|
Volume 2, 1998 |
|
Volume 3, 1999 |
|
Volume 4, 2000 |
|
Volume 5, 2001 |
|
Volume 6, 2002 |
|
Volume 7, 2003 |
|
Volume 8, 2004 |
|
Volume 9, 2005 |
|
Volume 10, 2006 |
|
Volume 11, 2007 |
|
Volume
12(1) 2008 |
|
Volume
12(2) 2008 |
|
Volume
12(3) 2008 |
|
Volume
12(4) 2008 |
|
Volume
12(5) 2008 |
|
Volume
13(1) 2009 |
|
Volume
13(2) 2009 |
|
Volume
13(3) 2009 |
|
Volume
13(4) 2009 |
|
Volume
13(5) 2009 |
|
Volume
14(1) 2010 |
|
G&T Monographs |
|
|
|
Flexing closed hyperbolic manifolds
Daryl Cooper, Darren Long and Morwen Thistlethwaite
|
|
Geometry & Topology 11 (2007)
2413–2440
|
Abstract
|
|
We show that for certain closed hyperbolic manifolds, one can nontrivially deform the
real hyperbolic structure when it is considered as a real projective structure. It
is also shown that in the presence of a mild smoothness hypothesis, the
existence of such real projective deformations is equivalent to the question of
whether one can nontrivially deform the canonical representation of the real
hyperbolic structure when it is considered as a group of complex hyperbolic
isometries. The set of closed hyperbolic manifolds for which one can do this seems
mysterious.
|
Keywords
real projective structure, complex
isometry, flexing
|
Mathematical Subject Classification
Primary: 57M50
|
Publication
Received: 18 December 2006
Accepted: 3 September 2007
Published: 17 December 2007
Proposed: Walter Neumann
Seconded: Dave Gabai, Martin Bridson
|
|
