The Dirac operator on manifold admitting parallel one-form

被引：5
|
作者：
Chen, Yongfa [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 117卷
基金：
中国国家自然科学基金;
关键词：
Dirac operator; Eigenvalue; Scalar curvature; EIGENVALUES;
D O I：
10.1016/j.geomphys.2017.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we get estimates on the eigenvalues of the Dirac operator on the manifold admitting a nontrivial parallel one-form, in terms of the eigenvalues of the Laplace Beltrami operator and the scalar curvature. These estimates are sharp, in the sense that, for the first eigenvalue, they reduce to the result of Alexandrov et al. (1998). (C) 2017 Elsevier B.V. All rights reserved.
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页码：214 / 221
页数：8
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