Abstract
Let M be a complete noncompact manifold. We prove vanishing and finiteness results for harmonic p-forms on M, assuming both the curvature operator lower bound and the weighted Poincaré inequality on M.
| Original language | English |
|---|---|
| Pages (from-to) | 201-214 |
| Number of pages | 14 |
| Journal | Pacific Journal of Mathematics |
| Volume | 242 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 Oct |
Keywords
- Harmonic forms
- Weighted Poincaré inequality
ASJC Scopus subject areas
- General Mathematics
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