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Symmetric submanifolds associated with irreducible symmetric R-spaces. (English) Zbl 1090.53051

The authors complete the classification of symmetric submanifolds in Riemannian symmetric spaces obtained by the third author in [Tsukuba J. Math. 10, 215–242 (1986; Zbl 0619.53033)]. A one-parameter family of noncongruent symmetric submanifolds in irreducible spaces of noncompact type and rank greater then one is constructed. This construction is a noncompact version of the one discussed in the above paper. The authors show that all unclassified cases are exhausted by these examples.

MSC:

53C35 Differential geometry of symmetric spaces
53C40 Global submanifolds

Citations:

Zbl 0619.53033
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Full Text: DOI

References:

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