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The double of a hyperbolic manifold and non-positively curved exotic  structures
Author(s):
Pedro
Ontaneda
Journal:
Trans. Amer. Math. Soc.
355
(2003),
935-965.
MSC (2000):
Primary 53C20, 57Q25, 57R55
Posted:
October 29, 2002
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Abstract:
We give examples of non-compact finite volume real hyperbolic manifolds of dimension greater than five, such that their doubles admit at least three non-equivalent smoothable  structures, two of which admit a Riemannian metric of non-positive curvature while the third does not. We also prove that the doubles of non-compact finite volume real hyperbolic manifolds of dimension greater than four are differentiably rigid.
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Additional Information:
Pedro
Ontaneda
Affiliation:
Departamento de Matematica, Universidade Federal de Pernambuco, Cidade Universitaria, Recife, PE 50670-901, Brazil
Email:
ontaneda@dmat.ufpe.br
DOI:
10.1090/S0002-9947-02-03076-3
PII:
S 0002-9947(02)03076-3
Received by editor(s):
April 12, 2001
Received by editor(s) in revised form:
April 12, 2002
Posted:
October 29, 2002
Additional Notes:
This research was supported in part by CNPq, Brazil
Copyright of article:
Copyright
2002,
American Mathematical Society
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