Complex Generalized Killing Spinors on Riemannian Spin c Manifolds

被引：4

作者：

Grosse, Nadine ^{[1
]}

Nakad, Roger ^{[2
]}

机构：

[1] Univ Leipzig, Math Inst, D-04009 Leipzig, Germany

[2] Notre Dame Univ Louaize, Fac Nat & Appl Sci, Dept Math & Stat, Zouk Mikael, Zouk Mosbeh, Lebanon

来源：

RESULTS IN MATHEMATICS | 2015年 / 67卷 / 1-2期

关键词：

Spin(c) structures; complex generalized Killing spinors; imaginary generalized and imaginary Killing spinors; associated differential forms; conformal Killing vector fields; DIRAC-OPERATOR; 1ST EIGENVALUE; PARALLEL; SCALAR;

D O I：

10.1007/s00025-014-0401-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the study of generalized Killing spinors on Riemannian Spin (c) manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real spin (c) Killing spinors or imaginary generalized Spin (c) Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we examine which Riemannian Spin (c) manifolds admit imaginary and imaginary generalized Killing spinors.

引用

页码：177 / 195

页数：19