2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76916We introduce a new method for computing the heat invariants of a 2-dimensional Riemannian manifold based on a result by S.Agmon and Y.Kannai. Two explicit expressions for the heat invariants are presented. The first one depends on the choice of a certain coordinate system; the second involves only invariant terms but has some restrictions on its validity, though in a ``generic'' case it is well-defined.Revised version; 11 pages, AMS-LaTeXDifferential GeometryHigh Energy Physics - TheorySpectral Theory58G25text