Eigenvalue estimates for the Dirac operator depending on the Weyl tensor

被引：7

作者：

Friedrich, T ^{[1
]}

Kirchberg, KD ^{[1
]}

机构：

[1] Humboldt Univ, Inst Reine Math, D-10099 Berlin, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 41卷 / 03期

关键词：

dirac operator; eigenvalues; harmonic Weyl tensor; Einstein manifold;

D O I：

10.1016/S0393-0440(01)00055-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence-free. In the special case of Einstein manifolds, we obtain estimates depending on the Weyl tensor. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：196 / 207

页数：12

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