Twistor Spinors and Quasi-twistor Spinors

被引：0

作者：

Chen, Yongfa ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Dirac operator; Twistor spinor; Scalar curvature; DIRAC OPERATOR; KAHLER-MANIFOLDS; KILLING SPINORS; 1ST EIGENVALUE; BOUNDS;

D O I：

10.1007/s11401-016-0961-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author studies the properties and applications of quasi-Killing spinors and quasi-twistor spinors and obtains some vanishing theorems. In particular, the author classifies all the types of quasi-twistor spinors on closed Riemannian spin manifolds. As a consequence, it is known that on a locally decomposable closed spin manifold with nonzero Ricci curvature, the space of twistor spinors is trivial. Some integrability condition for twistor spinors is also obtained.

引用

页码：451 / 464

页数：14

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