Totally geodesic Riemannian foliations with locally symmetric leaves

Raul Quiroga-Barranco

doi:10.1016/j.crma.2006.01.015

Differential Geometry

Totally geodesic Riemannian foliations with locally symmetric leaves

Presented by: Étienne Ghys

Raul Quiroga-Barranco ^1,²

¹ Centro de Investigación en Matemáticas, A.C. (CIMAT), A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico
² Departamento de Matemáticas, CINVESTAV, A.P. 14-740, México, D.F., C.P. 07000, Mexico

Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 421-426.

Abstract
Résumé

We prove the arithmeticity of totally geodesic Riemannian foliations, with a dense leaf, on complete finite volume Riemannian manifolds when the leaves are isometrically covered by an irreducible symmetric space of noncompact type and rank at least 2.

Nous prouvons le caractère arithmétique des feuilletages riemanniens totalement géodésiques, possédant une feuille dense, sur une variété riemannienne complète de volume fini, quand les feuilles sont revêtues de façon isométrique par un espace symétrique irréductible de type noncompact et de rang au moins 2.

Received: 2005-12-02
Accepted: 2006-01-10
Published online: 2006-02-10

DOI: 10.1016/j.crma.2006.01.015

Author's affiliations:

Raul Quiroga-Barranco ^{1, 2}

¹ Centro de Investigación en Matemáticas, A.C. (CIMAT), A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico
² Departamento de Matemáticas, CINVESTAV, A.P. 14-740, México, D.F., C.P. 07000, Mexico

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     title = {Totally geodesic {Riemannian} foliations with locally symmetric leaves},
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Raul Quiroga-Barranco. Totally geodesic Riemannian foliations with locally symmetric leaves. Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 421-426. doi : 10.1016/j.crma.2006.01.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.01.015/

References
Cited by

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