A counter example to the Bueler's conjecture.

Gilles Carron (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We give a counter example to a conjecture of E. Bueler stating the equality between the DeRham cohomology of complete Riemannian manifold and a weighted $L^2$ cohomology where the weight is the heat kernel.

Mots clés: $L^2$ cohomology

Domaines: Géométrie différentielle [math.DG]

Gilles Carron. A counter example to the Bueler's conjecture.. Proc. Amer. Math. Soc., 2007, 137 (5), pp.1579--1583. ⟨hal-00009000⟩