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 1 |
Fingerprint
Keywords
- Harmonic forms
- Weighted Poincaré inequality
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Harmonic forms on manifolds with weighted poincaré inequality. / Chen, Jui Tang Ray; Sung, Chiung Jue Anna.
In: Pacific Journal of Mathematics, Vol. 242, No. 2, 01.10.2009, p. 201-214.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Harmonic forms on manifolds with weighted poincaré inequality
AU - Chen, Jui Tang Ray
AU - Sung, Chiung Jue Anna
PY - 2009/10/1
Y1 - 2009/10/1
N2 - 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.
AB - 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.
KW - Harmonic forms
KW - Weighted Poincaré inequality
UR - http://www.scopus.com/inward/record.url?scp=70349764365&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349764365&partnerID=8YFLogxK
U2 - 10.2140/pjm.2009.242.201
DO - 10.2140/pjm.2009.242.201
M3 - Article
AN - SCOPUS:70349764365
VL - 242
SP - 201
EP - 214
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 2
ER -