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A class of complete embedded minimal submanifolds in noncompact symmetric spaces

Claudio Gorodski
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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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Claudio Gorodski. 2001-07-12. A class of complete embedded minimal submanifolds in noncompact symmetric spaces. https://arxiv.org/abs/math/0107093

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