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

页码：232 / 255

页数：24

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