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Extrinsic symmetric spaces and orbits of \(s\)-representations - MaRDI portal

Extrinsic symmetric spaces and orbits of \(s\)-representations (Q1911191)

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scientific article; zbMATH DE number 866143
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Extrinsic symmetric spaces and orbits of \(s\)-representations
scientific article; zbMATH DE number 866143

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    Extrinsic symmetric spaces and orbits of \(s\)-representations (English)
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    9 March 1997
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    The authors give a short and elegant new proof of the reviewer's theorem classifying the extrinsic symmetric submanifolds of spheres as the orbits of \(s\)-representations. They also clarify the relations to [\textit{J. Dadok}, Trans. Am. Math. Soc. 288, 125-137 (1985; Zbl 0565.22010)].
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    \(R\)-space
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    polar representation
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    extrinsic symmetric submanifolds of spheres
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    orbits of \(s\)-representations
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