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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

9 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	201-214
頁數	14
期刊	Pacific Journal of Mathematics
卷	242
發行號	2
DOIs	https://doi.org/10.2140/pjm.2009.242.201
出版狀態	已發佈 - 2009 10月

ASJC Scopus subject areas

一般數學

存取文件

10.2140/pjm.2009.242.201

其它文件與鏈接

Link to publication in Scopus

引用此

@article{424e7c513872485a927fcfb64b4f35f2,

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",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "2",

}

TY - JOUR

T1 - Harmonic forms on manifolds with weighted poincaré inequality

AU - Chen, Jui Tang Ray

AU - Sung, Chiung Jue Anna

PY - 2009/10

Y1 - 2009/10

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 - https://www.scopus.com/pages/publications/70349764365

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

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此