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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample to Bueler's conjecture


Author: Gilles Carron
Journal: Proc. Amer. Math. Soc. 135 (2007), 1579-1583
MSC (2000): Primary 58A14; Secondary 58J10
Published electronically: January 9, 2007
MathSciNet review: 2276670
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Abstract: We give a counterexample to the following conjecture of E. Bueler: ``The de Rham cohomology of any complete Riemannian manifold is isomorphic to a weighted $ L^2$ cohomology where the weight is the heat kernel."


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Additional Information

Gilles Carron
Affiliation: Laboratoire de Mathématiques Jean Leray (UMR 6629), Université de Nantes, 2, rue de la Houssinière, B.P. 92208, 44322 Nantes Cedex 3, France
Email: Gilles.Carron@math.univ-nantes.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08713-8
PII: S 0002-9939(07)08713-8
Keywords: $L^2$ cohomology
Received by editor(s): January 19, 2006
Received by editor(s) in revised form: February 24, 2006
Published electronically: January 9, 2007
Communicated by: Mikhail Shubin
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.