A Hodge Theorem for Noncompact Manifolds

Details A Hodge Theorem for Noncompact Manifolds A Hodge Theorem for Noncompact Manifolds

2000-03-05

arxiv.org/abs/math/0003029v3

Mathematics

Differential Geometry

For the last version of this text and additional comments, go to http://www.iecn.u-nancy.fr/~gaillard/DIVERS/Hodgegaillard/, o

Scientific paper

If M is a riemannian manifold, then the inclusion of the complex of coclosed
harmonic forms into the de Rham complex induces a linear isomorphism in
cohomology. If M has at most countably many connected components, this linear
isomorphism is a Frechet isomorphism.

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