The Hijazi inequality on manifolds with boundary

被引：11

作者：

Raulot, Simon ^{[1
]}

机构：

[1] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2006年 / 56卷 / 11期

关键词：

manifolds with boundary; Dirac operator; conformal geometry; spectrum; Yamabe problem;

D O I：

10.1016/j.geomphys.2005.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the Hijazi inequality on compact Riemannian spin manifolds under two boundary conditions: the condition associated with a chirality operator and the Riemannian version of the MIT bag condition. We then show that the limiting case is characterized as being a half-sphere for the first condition whereas the equality cannot be achieved for the second. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：2189 / 2202

页数：14

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