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ISSN 1088-6826(e) ISSN 0002-9939(p)

A counterexample to Bueler's conjecture

Author(s): Gilles Carron
Journal: Proc. Amer. Math. Soc. 135 (2007), 1579-1583.
MSC (2000): Primary 58A14; Secondary 58J10
Posted: January 9, 2007
MathSciNet review: 2276670
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Abstract | References | Similar articles | Additional information

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 cohomology where the weight is the heat kernel."

References:

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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: 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
Posted: January 9, 2007
Communicated by: Mikhail Shubin
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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