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

共 18 条

[1] The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds
Alexahdrov, Bogdan
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2007, 57 (02) : 467 - 472
[2] An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form
Alexandrov, B
Grantcharov, G
Ivanov, S
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1998, 28 (3-4) : 263 - 270
[3] [Anonymous], 1986, Ann. Glob. Anal. Geom.
[4] Spectral bounds for Dirac operators on open manifolds
Baer, Christian
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2009, 36 (01) : 67 - 79
[5] REAL KILLING SPINORS AND HOLONOMY
BAR, C
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 154 (03) : 509 - 521
[6] Friedrich T., 2000, Graduate Studies in Mathematics, V25
[7] A CONFORMAL LOWER BOUND FOR THE SMALLEST EIGENVALUE OF THE DIRAC OPERATOR AND KILLING SPINORS
HIJAZI, O
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (01) : 151 - 162
[8] LOWER BOUNDS FOR THE EIGENVALUES OF THE DIRAC OPERATOR
HIJAZI, O
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1995, 16 (01) : 27 - 38
[9] EIGENVALUES OF THE DIRAC OPERATOR ON COMPACT KAHLER-MANIFOLDS
HIJAZI, O
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 160 (03) : 563 - 579
[10] Kim E. C., ARXIVMATHDG0402427

← 1 2 →