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math.DG2007
Lie groups of bundle automorphisms and their extensions
Karl-Hermann Neeb
We describe natural abelian extensions of the Lie algebra $\aut(P)$ of infinitesimal automorphisms of a principal bundle over a compact manifold and discuss their integrability…
math.DG2007★ 33 cited
Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
Karl-Hermann Neeb, Friedrich Wagemann
We study Lie group structures on groups of the form C^\infty(M,K)}, where M is a non-compact smooth manifold and K is a, possibly infinite-dimensional, Lie group. First we prove th…