Direct limit Lie groups and manifolds
نویسندگان
چکیده
منابع مشابه
Integration on Manifolds and Lie Groups
M :C c (M)→ R. Take a smooth atlas on M consisting of orientation-preserving diffeomorphisms hλ:Uλ ∼= U ′ λ ⊂ R, where the open sets Uλ (for λ ∈ Λ) cover M . Take a partition of unity, consisting of continuous functions φλ:M → R with support supp(φλ) ⊂ Uλ, so that ∑ λ φλ = 1. (We do not need φλ to be smooth for current purposes.) Given ω ∈ C c (M), we decompose it as the sum ω = ∑ λ φλω; since ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2003
ISSN: 2156-2261
DOI: 10.1215/kjm/1250283739