Lefschetz pencil structures for 2-calibrated manifolds

Alberto Ibort; David Marti´nez Torres

doi:10.1016/j.crma.2004.05.018

Differential Topology

Lefschetz pencil structures for 2-calibrated manifolds

Presented by: Étienne Ghys

Alberto Ibort ¹; David Marti´nez Torres ¹

¹ Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain

Comptes Rendus. Mathématique, Volume 339 (2004) no. 3, pp. 215-218.

Abstract
Résumé

We prove that for closed 2-calibrated manifolds there always exist Lefschetz pencil structures. This generalizes similar results for symplectic and contact manifolds.

On prouve qu'il existe toujours des pinceaux de Lefschetz pour les variétés fermées 2-calibrées. Ce résultat généralise des constructions similaires pour les variétés symplectiques et de contact.

Received: 2004-03-29
Accepted: 2004-05-20
Published online: 2004-07-23

DOI: 10.1016/j.crma.2004.05.018

Author's affiliations:

Alberto Ibort ¹; David Marti´nez Torres ¹

¹ Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain

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Alberto Ibort; David Marti´nez Torres. Lefschetz pencil structures for 2-calibrated manifolds. Comptes Rendus. Mathématique, Volume 339 (2004) no. 3, pp. 215-218. doi : 10.1016/j.crma.2004.05.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.05.018/

References
Cited by

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