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Comptes Rendus Mathématique
Volume 347, n° 19-20
pages 1183-1187 (octobre 2009)
Doi : 10.1016/j.crma.2009.09.008
Received : 28 January 2009 ;  accepted : 7 September 2009
Une caractérisation des variétés complexes compactes parallélisables admettant des structures affines
On complex compact parallelizable manifolds admitting affine structures
 

Sorin Dumitrescu
Département de mathématiques d’Orsay, bâtiment 425, UMR 8628 du CNRS, université Paris-Sud, 91405 Orsay cedex, France 

Résumé

Nous caractérisons les variétés complexes compactes parallélisables admettant des connexions affines holomorphes plates sans torsion. En particulier, nous exhibons des variétés complexes compactes admettant des connexions affines holomorphes, mais aucune connexion affine holomorphe plate sans torsion. Pour citer cet article : S. Dumitrescu, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Abstract

We classify complex compact parallelizable manifolds which admit flat torsion free holomorphic affine connections. We exhibit complex compact manifolds admitting holomorphic affine connections, but no flat torsion free holomorphic affine connections. To cite this article: S. Dumitrescu, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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