4-varietes parallelisables sans structure complexe dont l'espace twistoriel est complexe

The aim of this Note is to give some applications of twistor theory about existence or non-existence of complex structures. We slightly improve Yau's result [Topology 15 (1976) 51-53] by giving the full list of compact parallelizable real 4-manifolds with a complex structure. On the other hand,...

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Published inComptes rendus. Mathématique Vol. 341; no. 1; pp. 35 - 38
Main Author Deschamps, Guillaume
Format Journal Article
LanguageEnglish
French
Published 01.07.2005
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Summary:The aim of this Note is to give some applications of twistor theory about existence or non-existence of complex structures. We slightly improve Yau's result [Topology 15 (1976) 51-53] by giving the full list of compact parallelizable real 4-manifolds with a complex structure. On the other hand, we give a family of parallelizable 4-manifolds without complex structure but whose product with the sphere is complex.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1631-073X
1778-3569
DOI:10.1016/j.crma.2005.05.027