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Bulletin of the London Mathematical Society Advance Access published online on November 1, 2009

Bulletin of the London Mathematical Society, doi:10.1112/blms/bdp085
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© 2009 London Mathematical Society

Twisted doubles and nonpositive curvature

C. S. Aravinda

TIFR Centre for Applicable Mathematics
P.O. Box 6503 Sharada Nagar
Chikkabommasandra
Bangalore 560065
India

F. T. Farrell

Department of Mathematical Sciences
SUNY at Binghamton
Binghamton, NY 13902 6000
USA
farrell@math.binghamton.edu

Received 27 December 2008.

We investigate the question of putting nonpositively curved metrics on doubles of finite volume real hyperbolic manifolds M, where we allow the boundary components to be identified via self-diffeomorphisms of {partial}M.


2000 Mathematics Subject Classification 53C20, 57R55.

Both the authors were supported in part by a grant from the NSF.


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