Lower bounds for the eigenvalue estimates of the submanifold Dirac operator

被引：1
|
作者：
Chen, Yongfa [1 ]
机构：
[1] Cent China Normal Univ, Dept Math & Stat, Wuhan, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 3-4期
关键词：
Dirac operator; Eigenvalue; Mean curvature; Scalar curvature; 1ST EIGENVALUE;
D O I：
10.1007/s00209-021-02752-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, we can recover several known results in this direction.
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页码：2443 / 2460
页数：18
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