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| DEFORMATIONS FEUILLETEES DES VARIETES DE HOPF |
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| Laurent Meersseman1Marcel Nicolau2Alberto Verjovsky3 |
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| In this article, we focus on a very special class of foliations with complex leaves whose diffeomorphism type is fixed. They have a unique compact leaf and the noncompact leaves all accumulate onto it. We show that the complex structure along the non-compact leaves is fixed by the complex structure of the compact leaf. Reciprocally, we prove that the complex structure along a non-compact leaf determines the complex structure along the other leaves. We apply these results to the study of foliated deformations of Hopf manifolds, a foliated analogue to the notion of deformation in the large. |
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| 1: | IMB - Institut de Mathématiques de Bourgogne |
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| 2: | Departament de Matemàtiques [Barcelona] |
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| 3: | Instituto de Matematicas de la UNAM unidad Cuernavaca |
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| hal-00363022, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00363022 | |
| oai:hal.archives-ouvertes.fr:hal-00363022 | |
| From: Laurent Meersseman | |
| Submitted on: Friday, 20 February 2009 22:46:37 | |
| Updated on: Wednesday, 25 February 2009 09:00:44 | |
