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Extrinsic symmetric spaces and orbits of \(s\)-representations. (English) Zbl 0857.53033
Manuscr. Math. 88, No. 4, 517-524 (1995); Erratum 92, 408 (1997).
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 [J. Dadok, Trans. Am. Math. Soc. 288, 125-137 (1985; Zbl 0565.22010)].
Reviewer: D.Ferus (Berlin)

MSC:
53C35 Differential geometry of symmetric spaces
53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
53C40 Global submanifolds
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References:
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