Inhomogeneous hypercomplex structures on homogeneous manifolds

被引：0
|
作者：
Pedersen, H
Poon, YS
机构：
[1] Odense Univ, Inst Math & Datalogi, DK-5230 Odense M, Denmark
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 1999年 / 516卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study deformations of hypercomplex structures on compact homogeneous spaces through the complex deformation theory of the associated twister spaces. In general, we find complete parameter spaces of hypercomplex structures associated to compact semi-simple Lie groups. In particular, we discover the moduli space of hypercomplex structures on products of Hopf surfaces and on compact associated bundles of quaternionic projective spaces.
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页码：159 / 181
页数：23
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