REAL KILLING SPINORS AND HOLONOMY

被引:262
作者
BAR, C
机构
[1] Mathematisches Institut der Universität Bonn, Bonn 1, W-5300
关键词
D O I
10.1007/BF02102106
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give a description of all complete simply connected Riemannian manifolds carrying real Killing spinors. Furthermore, we present a construction method for manifolds with the exceptional holonomy groups G2 and Spin(7).
引用
收藏
页码:509 / 521
页数:13
相关论文
共 33 条
[1]  
BAUM H, 1989, CR ACAD SCI I-MATH, V309, P47
[2]  
BAUM H, 1989, ANN GLOB ANAL GEOM, V7, P205
[3]  
BAUM H, 1990, TWISOTR KILING SPINO, V108
[4]  
BAUM H, 1989, ANN GLOB ANAL GEOM, V7, P141
[5]  
Besse A.L., 1987, EINSTEIN MANIFOLDS
[6]  
BLAIR DE, 1976, CONTACT MANIFOLDS RI
[7]  
BONAN E, 1966, CR ACAD SCI A MATH, V262, P127
[8]   METRICS WITH EXCEPTIONAL HOLONOMY [J].
BRYANT, RL .
ANNALS OF MATHEMATICS, 1987, 126 (03) :525-576
[9]  
Cahen M., 1986, B SOC MATH BELG, V38, P75
[10]   KALUZA-KLEIN SUPERGRAVITY [J].
DUFF, MJ ;
NILSSON, BEW ;
POPE, CN .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1986, 130 (1-2) :1-142