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.
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页码：2329 / 2339
页数：11
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