A Hodge Theorem for Noncompact Manifolds

Pierre-Yves Gaillard

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A Hodge Theorem for Noncompact Manifolds

Pierre-Yves Gaillard

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Abstract

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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Pierre-Yves Gaillard. 2000-03-05. A Hodge Theorem for Noncompact Manifolds. https://arxiv.org/abs/math/0003029

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