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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Wormholes in ACH Einstein manifolds


Authors: Olivier Biquard and Yann Rollin
Journal: Trans. Amer. Math. Soc. 361 (2009), 2021-2046
MSC (2000): Primary 32Q20, 53C25
Published electronically: November 25, 2008
MathSciNet review: 2465828
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Abstract: We give a new construction of Einstein manifolds which are asymptotically complex hyperbolic, inspired by the work of Mazzeo-Pacard in the real hyperbolic case. The idea is to develop a gluing theorem for $ 1$-handle surgery at infinity, which generalizes the Klein construction for the complex hyperbolic metric.


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Additional Information

Olivier Biquard
Affiliation: Institut de Recherche Mathématique Avancé, UMR 7501 du CNRS, Strasbourg, France
Email: Olivier.Biquard@math.u-strasbg.fr

Yann Rollin
Affiliation: Department of Mathematics, Imperial College, London, United Kingdom
Email: rollin@imperial.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04778-8
PII: S 0002-9947(08)04778-8
Received by editor(s): May 9, 2007
Published electronically: November 25, 2008
Additional Notes: The second author was partly supported by a University Research Fellowship of the Royal Society and NSF grant #DMS-0305130
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.