ar X iv : m at h / 98 08 03 9 v 1 [ m at h . D G ] 7 A ug 1 99 8 COMPACT WEAKLY SYMMETRIC SPACES AND SPHERICAL PAIRS
نویسنده
چکیده
Let (G, H) be a spherical pair and assume that G is a connected compact simple Lie group and H a closed subgroup of G. We prove in this paper that the homogeneous manifold G/H is weakly symmetric with respect to G and possibly an additional fixed isometry µ. It follows that M. Krämer's classification list of such spherical pairs also becomes a classification list of compact weakly symmetric spaces. In fact, our proof involves a case-by-case study of all the spherical pairs on Krämer's list.
منابع مشابه
Compact Weakly Symmetric Spaces and Spherical Pairs
Let (G,H) be a spherical pair and assume that G is a connected compact simple Lie group and H a closed subgroup of G. We prove in this paper that the homogeneous manifold G/H is weakly symmetric with respect to G and possibly an additional fixed isometry μ. It follows that M. Krämer’s classification list of such spherical pairs also becomes a classification list of compact weakly symmetric spac...
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تاریخ انتشار 1998