Lower bounds for the eigenvalues of the Spinc Dirac operator on submanifolds

被引：0
|
作者：
Roger Nakad
Julien Roth
机构：
[1] Notre Dame University-Louaize,Faculty of Natural and Applied Sciences, Department of Mathematics and Statistics
[2] Université Paris-Est Marne-la-Vallée,LAMA
来源：
Archiv der Mathematik | 2015年 / 104卷
关键词：
Submanifolds; Dirac operator; Eigenvalues; Spin; spinors; Twisted Killing spinors; 53C27; 53C42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove lower bounds for the eigenvalues of the Spinc Dirac operator on submanifolds. These estimates are expressed in terms of extrinsic and intrinsic quantities. We also give estimates involving the energy–momentum tensor as well as conformal bounds. The limiting cases of these estimates give rise to particular spinor fields, called generalized twisted Killing spinors, which are also studied.
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页码：451 / 461
页数：10
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