The Einstein-Dirac equation on Sasakian 3-manifolds

被引：6

作者：

Belgun, FA ^{[1
]}

机构：

[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2001年 / 37卷 / 03期

关键词：

Einstein-Dirac equation; Sasakian; 3-manifolds;

D O I：

10.1016/S0393-0440(00)00054-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a Sasakian 3-manifold admitting a non-trivial solution to the Einstein-Dirac equation has necessarily constant scalar curvature. In the case when this scalar curvature is non-zero, their classification follows then from a result by Th. Friedrich and E.C. Kim. We also prove that a scalar-flat Sasakian 3-manifold admits no local Einstein spinors. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：229 / 236

页数：8

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