THE ENERGY-MOMENTUM TENSOR ON LOW DIMENSIONAL Spinc MANIFOLDS

被引：1

作者：

Habib, Georges ^{[1
]}

Nakad, Roger ^{[2
]}

机构：

[1] Lebanese Univ, Dept Math, Fac Sci 2, Fanar Matn, Lebanon

[2] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 09期

关键词：

Spin(c) structures; Dirac operator; eigenvalues; Energy-Momentum tensor; compact surfaces; isometric immersions; KILLING SPINORS; DIRAC OPERATOR; EIGENVALUE;

D O I：

10.1142/S0129167X12500905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a compact surface endowed with any Spin(c) structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a Bar-type inequality for the eigenvalues of the Dirac operator is given. The round sphere S-2 with its canonical Spin(c) structure satisfies the limiting case. Finally, we give a spinorial characterization of immersed surfaces in S-2 x R by solutions of the generalized Killing spinor equation associated with the induced Spin(c) structure on S-2 x R.

引用

页数：14

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