Twistor theory for CR quaternionic manifolds and related structures

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• 作者：S. Marchiafava (1)
  L. Ornea (2) (3)
  R. Pantilie (3)
  
• 关键词：Quaternionic geometry ; CR geometry ; Twistor theory ; Primary 53C28 ; Secondary 53C26
• 刊名：Monatshefte f眉r Mathematik
• 出版年：2012
• 出版时间：September 2012
• 年：2012
• 卷：167
• 期：3-4
• 页码：531-545
• 全文大小：219KB
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• 作者单位：S. Marchiafava (1)
  L. Ornea (2) (3)
  R. Pantilie (3)
  
  1. Dipartimento di Matematica, Istituto 鈥淕uido Castelnuovo鈥? Universit脿 degli Studi di Roma 鈥淟a Sapienza鈥? Piazzale Aldo Moro, 2, 00185, Rome, Italy
  2. Facultatea de Matematic膬, Universitatea din Bucure艧ti, Str. Academiei nr. 14, 70109, Bucharest, Romania
  3. Institutul de Matematic膬 鈥淪imion Stoilow鈥?al Academiei Rom芒ne, C.P. 1-764, 014700, Bucharest, Romania
  
• ISSN：1436-5081

文摘

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.