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Enlarging totally geodesic submanifolds of symmetric spaces to minimal submanifolds of one dimension higher |
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| Authors: | Claudio Gorodski |
| Institution: | Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP 05508-090, Brazil |
| Abstract: | 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. |
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