A counterexample to Bueler’s conjecture

Carron, Gilles

doi:10.1090/S0002-9939-07-08713-8

A counterexample to Bueler’s conjecture
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by Gilles Carron PDF

Proc. Amer. Math. Soc. 135 (2007), 1579-1583 Request permission

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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