Twistor theory for CR quaternionic manifolds and related structures

被引：14

作者：

Marchiafava, S. ^{[1
]}

Ornea, L. ^{[2
,3
]}

Pantilie, R. ^{[3
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, Ist Guido Castelnuovo, I-00185 Rome, Italy

[2] Univ Bucuresti, Fac Matemat, Bucharest 70109, Romania

[3] Acad Romana, Inst Matemat Simion Stoilow, Bucharest 014700, Romania

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 167卷 / 3-4期

关键词：

Quaternionic geometry; CR geometry; Twistor theory; HARMONIC MORPHISMS; GEOMETRY; SUBMANIFOLDS; RIEMANN; SPHERE; MAPS;

D O I：

10.1007/s00605-011-0326-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：531 / 545

页数：15

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