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Totally geodesic Riemannian foliations with locally symmetric leaves
Authors:Raul Quiroga-Barranco
Institution:Centro de Investigación en Matemáticas, A.C. (CIMAT), A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico;Departamento de Matemáticas, CINVESTAV, A.P. 14-740, México, D.F., C.P. 07000, Mexico
Abstract: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. To cite this article: R. Quiroga-Barranco, C. R. Acad. Sci. Paris, Ser. I 342 (2006).
Keywords:
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