A Hodge Theorem for Noncompact Manifolds
微分几何
2011-11-10 v3
摘要
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.
引用
@article{arxiv.math/0003029,
title = {A Hodge Theorem for Noncompact Manifolds},
author = {Pierre-Yves Gaillard},
journal= {arXiv preprint arXiv:math/0003029},
year = {2011}
}
备注
For the last version of this text and additional comments, go to http://www.iecn.u-nancy.fr/~gaillard/DIVERS/Hodgegaillard/, or type hodgegaillard on Google