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4-variétés parallélisables sans structure complexe dont l'espace twistoriel est complexe
- Source :
-
Comptes Rendus. Mathématique . Jul2005, Vol. 341 Issue 1, p35-38. 4p. - Publication Year :
- 2005
-
Abstract
- Abstract: 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. To cite this article: G. Deschamps, C. R. Acad. Sci. Paris, Ser. I 341 (2005). [Copyright &y& Elsevier]
- Subjects :
- *TWISTOR theory
*MANIFOLDS (Mathematics)
*SPHERES
*GEOMETRY
*MATHEMATICS
Subjects
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 341
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 18127168
- Full Text :
- https://doi.org/10.1016/j.crma.2005.05.027