Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

被引：0

作者：

K.-D. Kirchberg

机构：

[1] Humboldt-Universität zu Berlin,Institute of Mathematics

来源：

Annals of Global Analysis and Geometry | 2010年 / 38卷

关键词：

Dirac operator; Eigenvalue; Lower bound; Kähler–Einstein manifold; 53C27; 58J50; 83C60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the case of a Kähler–Einstein manifold of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given. It is shown by a general construction that there are manifolds for which this new lower bound itself is the first eigenvalue.

引用

页码：273 / 284

页数：11

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