2001•arXiv (Cornell University)Open access
A class of complete embedded minimal submanifolds in noncompact symmetric spaces
Cláudio 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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