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A Hodge Theorem for Noncompact Manifolds - MaRDI portal

A Hodge Theorem for Noncompact Manifolds

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Publication:6470282

arXivmath/0003029MaRDI QIDQ6470282

Pierre-Yves Gaillard

Publication date: 5 March 2000

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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