On locally Lipschitz locally compact transformation groups of manifolds
George Michael, A. A.
Archivum Mathematicum, Tome 043 (2007), p. 159-162 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2007-01-01
Classification:  57S05 
@article{108061,
     author = {A. A. George Michael},
     title = {On locally Lipschitz locally compact transformation groups of manifolds},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {159-162},
     zbl = {1164.57014},
     mrnumber = {2354804},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108061}
}

George Michael, A. A. On locally Lipschitz locally compact transformation groups of manifolds. Archivum Mathematicum, Tome 043 (2007) pp. 159-162. http://gdmltest.u-ga.fr/item/108061/

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