%0 Journal Article %T Rigidity of Rank-One Factors of Compact Symmetric Spaces %A Andrew Clarke %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0903.0789v2