Rigidity of Rank-One Factors of Compact Symmetric Spaces

Details Rigidity of Rank-One Factors of Compact Symmetric Spaces Rigidity of Rank-One Factors of Compact Symmetric Spaces

2009-03-04

arxiv.org/abs/0903.0789v2

Mathematics

Differential Geometry

Scientific paper

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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