A class of complete embedded minimal submanifolds in noncompact symmetric spaces

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We show that a totally geodesic submanifold of a symmetric space satisfying certain conditions admits an extension to a minimal submanifold of dimension one higher, and we apply this result to construct new examples of complete embedded minimal submanifolds in simply connected noncompact globally symmetric spaces.
6 pages

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Differential Geometry, 53C42 (Primary); 53C35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/61841

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107093
 http://arxiv.org/abs/math/0107093

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arXiv