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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/950| ARITHMETICITY OF TOTALLY GEODESIC LIE FOLIATIONS WITH LOCALLY SYMMETRIC LEAVES | |
| RAUL QUIROGA BARRANCO | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Foliaciones | |
| Zimmer [9] proved that, on a compact manifold, a foliation with a dense leaf, a suitable leafwise Riemannian symmetric metric and a transverse Lie structure has arithmetic holonomy group. In this work we improve such result for totally geodesic foliations by showing that the manifold itself is arithmetic. This also gives a positive answer, for some special cases, to a conjecture of E. Ghys [5]. | |
| International Press | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| GEOMETRÍA DIFERENCIAL | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| RQuiroga1.pdf | 176.98 kB | Adobe PDF | Visualizar/Abrir |