$L^2$ cohomology of Manifolds with flat ends

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62580We give a topological interpretation of the space of $L^2$-harmonic forms on Manifold with flat ends. It is an answer to an old question of J. Dodziuk. We also give a Chern-Gauss-Bonnet formula for the $L^2$-Euler characteristic of some of these Manifolds. These results are applications of general theorems on complete Riemannian Manifold whose Gauss-Bonnet operator is non-parabolic at infinity.29 pagesDifferential GeometryAnalysis of PDEs58J10; 35J25; 53C21; 58C40$L^2$ cohomology of Manifolds with flat endstext