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arxiv: 0903.0789 · v2 · submitted 2009-03-04 · 🧮 math.DG

Rigidity of Rank-One Factors of Compact Symmetric Spaces

classification 🧮 math.DG
keywords factorsrank-onespacesubmanifoldssymmetriccompactcompact-typeconsider
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We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.

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