Vanishing theorems on complete Riemannian manifold with a parallel 1-form

被引：1

作者：

Huang, Teng ^{[1
,2
]}

Tan, Qiang ^{[3
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei, Peoples R China

[2] Chinese Acad Sci, Key Lab Wu Wen Thun Math, Hefei, Peoples R China

[3] Jiangsu Univ, Fac Sci, Zhenjiang, Jiangsu, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 12期

基金：

中国国家自然科学基金;

关键词：

L-2 Morse-Novikov cohomology; vanishing theorem; HARMONIC FORMS; KAHLER; L(2)-COHOMOLOGY; COHOMOLOGY;

D O I：

10.1002/mana.202000065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we first consider the L-2 Morse-Novikov cohomology on a complete Riemannian manifold M equipped with a parallel 1-form which includes Vaisman manifold. Based on a vanishing theorem of L-2 Morse-Novikov cohomology, we prove that the L-2-harmonic forms on M are identically zero.

引用

页码：2329 / 2339

页数：11

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