Classification of abelian complex structures on 6-dimensional Lie algebras

被引：45
|
作者：
Andrada, A. [1 ]
Barberis, M. L. [1 ]
Dotti, I. [1 ]
机构：
[1] Univ Nacl Cordoba, FaMAF CIEM, RA-5000 Cordoba, Argentina
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2011年 / 83卷
关键词：
HYPERCOMPLEX STRUCTURES; IWASAWA MANIFOLD; NILMANIFOLDS; GEOMETRY;
D O I：
10.1112/jlms/jdq071
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify the 6-dimensional Lie algebras that can be endowed with an abelian complex structure and parametrize, on each of these algebras, the space of such structures up to holomorphic isomorphism.
引用
收藏
页码：232 / 255
页数：24
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