Harmonic forms on manifolds with weighted poincaré inequality

Jui Tang Ray Chen; Chiung Jue Anna Sung

doi:10.2140/pjm.2009.242.201

Harmonic forms on manifolds with weighted poincaré inequality

Jui Tang Ray Chen, Chiung Jue Anna Sung

Department of Mathematics

Research output: Contribution to journal › Article

3 Citations (Scopus)

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	https://doi.org/10.2140/pjm.2009.242.201
Publication status	Published - 2009 Oct 1

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Keywords

Harmonic forms
Weighted Poincaré inequality

ASJC Scopus subject areas

Mathematics(all)

Cite this

Chen, J. T. R., & Sung, C. J. A. (2009). Harmonic forms on manifolds with weighted poincaré inequality. Pacific Journal of Mathematics, 242(2), 201-214. https://doi.org/10.2140/pjm.2009.242.201

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Access to Document

10.2140/pjm.2009.242.201