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4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\) - MaRDI portal

4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\) (Q1049004)

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scientific article; zbMATH DE number 5655061
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English
4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\)
scientific article; zbMATH DE number 5655061

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    4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\) (English)
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    8 January 2010
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    The author classifies the 4-dimensional minimal CR submanifolds of the nearly Kähler 6-sphere \(\mathbf S^6\) which are also contained in a totally geodesic sphere \({\mathbf S}^4\) and shows that they all are of tree different types.
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    nearly Kähler 6-sphere
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    CR submanifold
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    minimal submanifold
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