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Normal holonomy groups and \(s\)-representations. (English) Zbl 0759.53034
The normal holonomy group representation of a submanifold of Euclidean space is, up to a trivial factor, equivalent to an \(s\)-representation (i.e. isotropy representation of a semisimple symmetric space). By computing the normal holonomy groups of the (focal) orbits of the \(s\)- representations we show conversely that almost every of these representations do occur as normal holonomy representations.

MSC:
53C40 Global submanifolds
53C35 Differential geometry of symmetric spaces
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