Twistor theory for CR quaternionic manifolds and related structures

被引：0
|
作者：
S. Marchiafava
L. Ornea
R. Pantilie
机构：
[1] Università degli Studi di Roma “La Sapienza”,Dipartimento di Matematica, Istituto “Guido Castelnuovo”
[2] Universitatea din Bucureşti,Facultatea de Matematică
[3] Institutul de Matematică “Simion Stoilow” al Academiei Române,undefined
来源：
Monatshefte für Mathematik | 2012年 / 167卷
关键词：
Quaternionic geometry; CR geometry; Twistor theory; Primary 53C28; Secondary 53C26;
D O I：
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中图分类号：
学科分类号：
摘要：
In a general and nonmetrical framework, we introduce the class of CR quaternionic manifolds containing the class of quaternionic manifolds, whilst in dimension three it particularizes to, essentially, give the conformal manifolds. We show that these manifolds have a rich natural Twistor Theory and, along the way, we obtain a heaven space construction for quaternionic manifolds.
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页码：531 / 545
页数：14
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