Eigenvalue estimates for the Dirac operator on Kahler-Einstein manifolds of even complex dimension

被引：4

作者：

Kirchberg, K. -D. ^{[1
]}

机构：

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

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2010年 / 38卷 / 03期

关键词：

Dirac operator; Eigenvalue; Lower bound; Kahler-Einstein manifold; 1ST EIGENVALUE; SCALAR-CURVATURE;

D O I：

10.1007/s10455-010-9212-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the case of a Kahler-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：12

共 11 条

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