Geodesic
Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions
Journal of Lie theory, Tome 15 (2005) no. 2, pp. 447-456.

Voir la notice de l'article provenant de la source Heldermann Verlag

By a result of G. W. Schwarz, a smooth version of R. S. Palais' covering homotopy theorem holds for actions of compact Lie groups. This paper extends the result of Schwarz to the case of proper actions of non-compact Lie groups. An isotopy lifting theorem is obtained as a corollary.
Classification : 57S20
Mots-clés : Smooth, homotopy, proper, Lie group, slice 
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     author = {M. Kankaanrinta },
     title = {Lifting {Smooth} {Homotopies} of {Orbit} {Spaces} of {Proper} {Lie} {Group} {Actions}},
     journal = {Journal of Lie theory},
     pages = {447--456},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2005},
     url = {http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a5/}
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M. Kankaanrinta . Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions. Journal of Lie theory, Tome 15 (2005) no. 2, pp. 447-456. http://geodesic.mathdoc.fr/item/JLT_2005_15_2_JLT_2005_15_2_a5/