Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591262 | Journal of Functional Analysis | 2009 | 30 Pages |
Abstract
We establish the Strong Lp-Hodge decomposition theorem and the Lp-Poincaré inequalities on differential forms over complete non-compact Riemannian manifolds. As applications, we prove some Lp-estimates and existence theorems for the de Rham operator as well as some vanishing theorems for the Lp-cohomology and the Lp-torsion over complete non-compact Riemannian manifolds with suitable geometric conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
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