A class of complete embedded minimal submanifolds in noncompact symmetric spaces

Mathematics – Differential Geometry

Scientific paper

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6 pages

Scientific paper

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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