NORMAL HOLONOMY GROUPS AND S-REPRESENTATIONS

被引:15
作者
HEINTZE, E [1 ]
OLMOS, C [1 ]
机构
[1] NATL UNIV CORDOBA,FAC MATEMAT ASTRON & FIS,AVE VALPARAISO Y R MARTINEZ,CIUDAD UNIV,RA-5000 CORDOBA,ARGENTINA
关键词
D O I
10.1512/iumj.1992.41.41047
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By the main result of [O], the normal holonomy representation of a submanifold of euclidean space is essentially equivalent to the isotropy representation of a symmetric space. By computing specific examples we show conversely that most of these isotropy representations actually do occur as normal holonomy representations.
引用
收藏
页码:869 / 874
页数:6
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