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.

引用

页码：2443 / 2460

页数：18

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