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Harmonic forms on
manifolds with weighted Poincaré inequality
Jui-Tang Ray Chen and Chiung-Jue Anna Sung |
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Vol. 242 (2009), No. 2, 201–214
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Abstract |
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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. |
Keywords
weighted Poincaré inequality, harmonic forms
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Mathematical Subject Classification 2000
Primary: 58A10
Secondary: 53C21
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Milestones
Received: 20 October 2008
Revised: 21 March 2009
Accepted: 2 April 2009
Published: 1 October 2009
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Authors |
| Jui-Tang Ray Chen | |
| Department of Mathematics National Taiwan Normal University 88 Section 4 Ting Chou Road Taipei Taiwan |
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| Chiung-Jue Anna Sung | |
| National Tsing Hua University Department of Mathematics Number 101, Section 2 Guangfu Road Hsinchu 30013 Taiwan |
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