Totally geodesic submanifolds of maximal rank in symmetric spaces (Q1777548)
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scientific article; zbMATH DE number 2170603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally geodesic submanifolds of maximal rank in symmetric spaces |
scientific article; zbMATH DE number 2170603 |
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Totally geodesic submanifolds of maximal rank in symmetric spaces (English)
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23 May 2005
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The authors classify all totally geodesic submanifolds of maximal rank in Riemannian symmetric spaces \(G/K\) of noncompact type. For the special case \(\text{rank}(G) = \text{rank}(K)\) this classification is already known from work by \textit{B.-Y. Chen} and \textit{T. Nagano} in [Duke Math. J. 45, 405--425 (1978; Zbl 0384.53024)].
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totally geodesic submanifolds
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symmetric spaces
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