2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94872We 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.Differential Geometry58A14 ; 58J10A counter example to the Bueler's conjecturetext