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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 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

Keywords

Harmonic forms
Weighted Poincaré inequality

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.2009.242.201

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title = "Harmonic forms on manifolds with weighted poincar{\'e} inequality",

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 Poincar{\'e} inequality on M.",

keywords = "Harmonic forms, Weighted Poincar{\'e} inequality",

author = "Chen, \{Jui Tang Ray\} and Sung, \{Chiung Jue Anna\}",

year = "2009",

month = oct,

doi = "10.2140/pjm.2009.242.201",

language = "English",

volume = "242",

pages = "201--214",

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T1 - Harmonic forms on manifolds with weighted poincaré inequality

AU - Chen, Jui Tang Ray

AU - Sung, Chiung Jue Anna

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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

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UR - https://www.scopus.com/pages/publications/70349764365#tab=citedBy

U2 - 10.2140/pjm.2009.242.201

DO - 10.2140/pjm.2009.242.201

M3 - Article

AN - SCOPUS:70349764365

SN - 0030-8730

VL - 242

SP - 201

EP - 214

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Harmonic forms on manifolds with weighted poincaré inequality

Abstract

Keywords

ASJC Scopus subject areas

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