Lie group structures on symmetry groups of principal bundles
نویسندگان
چکیده
منابع مشابه
Ergodic Actions of Semisimple Lie Groups on Compact Principal Bundles
Let G = SL(n, R) (or, more generally, let G be a connected, noncompact, simple Lie group). For any compact Lie group K, it is easy to find a compact manifold M , such that there is a volume-preserving, connection-preserving, ergodic action of G on some smooth, principal K-bundle P over M. Can M can be chosen independent of K? We show that if M = H / A is a homogeneous space, and the action of G...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2007
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.05.016