Complex structures on nilpotent Lie algebras

被引:215
作者
Salamon, SM [1 ]
机构
[1] Math Inst, Oxford OX1 3LB, England
关键词
D O I
10.1016/S0022-4049(00)00033-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We classify real six-dimensional nilpotent Lie algebras for which the corresponding Lie group has a left-invariant complex structure, and estimate the dimensions of moduli spaces of such structures. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:311 / 333
页数:23
相关论文
共 23 条
[1]  
Abbena E, 1997, B UNIONE MAT ITAL, V11B, P231
[2]   ON CERTAIN LOCALLY HOMOGENEOUS CLIFFORD MANIFOLDS [J].
BARBERIS, ML ;
MIATELLO, IGD ;
MIATELLO, RJ .
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1995, 13 (03) :289-301
[3]   KAHLER AND SYMPLECTIC STRUCTURES ON NILMANIFOLDS [J].
BENSON, C ;
GORDON, CS .
TOPOLOGY, 1988, 27 (04) :513-518
[4]  
BURSTALL FE, 1990, LECT NOTES MATH, V1424
[5]  
CAMPANA F, 1993, CR ACAD SCI I-MATH, V317, P777
[6]   COHOMOLOGY THEORY OF LIE GROUPS AND LIE ALGEBRAS [J].
CHEVALLEY, C ;
EILENBERG, S .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 63 (JAN) :85-124
[7]   SYMPLECTIC-MANIFOLDS WITH NO KAHLER STRUCTURE [J].
CORDERO, LA ;
FERNANDEZ, M ;
GRAY, A .
TOPOLOGY, 1986, 25 (03) :375-380
[8]  
Cordero LA., 1997, REND CIRCOLO MAT P S, V49, P83
[9]   REAL HOMOTOPY THEORY OF KAHLER MANIFOLDS [J].
DELIGNE, P ;
GRIFFITHS, P ;
MORGAN, J ;
SULLIVAN, D .
INVENTIONES MATHEMATICAE, 1975, 29 (03) :245-274
[10]  
Dixmier J., 1955, Acta Sci. Math. Szeged, V16, P246