DIRAC EIGENVALUES ESTIMATES IN TERMS OF DIVERGENCEFREE SYMMETRIC TENSORS

被引：6
|
作者：
Kim, Eui Chul [1 ]
机构：
[1] Andong Natl Univ, Coll Educ, Dept Math, Andong 760749, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 05期
关键词：
Dirac operator; eigenvalues; divergencefree symmetric tensors; OPERATOR; MANIFOLDS; TORSION; SPINORS;
D O I：
10.4134/BKMS.2009.46.5.949
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We proved in [10] that Friedrich's estimate [5] for the first eigenvalue of the Dirac operator can be improved when a Codazzi tensor exists. In the paper we further prove that his estimate can be improved as well via a well-chosen divergencefree symmetric tensor. We study the geometric implication of the new first eigenvalue estimates over Sasakian spin manifolds and show that some particular types of spinors appear as the limiting case.
引用
收藏
页码：949 / 966
页数：18
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