The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

被引：8

作者：

Alexahdrov, Bogdan ^{[1
]}

机构：

[1] Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 02期

关键词：

Dirac operator; eigenvalue; killing spinor;

D O I：

10.1016/j.geomphys.2006.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a lower estimate for the first eigenvalue of the Dirac operator on a compact locally reducible Riemannian spin manifold with positive scalar curvature. We determine also the universal covers of the manifolds on which the smallest possible eigenvalue is attained. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：467 / 472

页数：6

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