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Article

George Michael, A. A.
On locally Lipschitz locally compact transformation groups of manifolds. (English). Archivum Mathematicum, vol. 43 (2007), issue 3, pp. 159-162
MSC: 57S05 | MR 2354804 | Zbl 1164.57014
Keywords:
locally Lipschitz transformation group; Hilbert-Smith conjecture
Summary:
In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the Hilbert-Smith conjecture. It generalizes the classical Bochner-Montgomery-Kuranishi Theorem[1, 9] and also the Repovš-Ščepin Theorem [17] which holds only for Riemannian manifolds.
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