Journal of Lie Theory

no. 2
Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 447-456
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.
DOI: 10.5802/jolt.385
Classification: 57S20
Keywords: Smooth, homotopy, proper, Lie group, slice 
@article{JOLT_2005_15_2_a5,
     author = {M. Kankaanrinta},
     title = {Lifting {Smooth} {Homotopies} of {Orbit} {Spaces} of {Proper} {Lie} {Group} {Actions}},
     journal = {Journal of Lie Theory},
     pages = {447--456},
     year = {2005},
     volume = {15},
     number = {2},
     doi = {10.5802/jolt.385},
     zbl = {1079.57025},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.385/}
}
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M. Kankaanrinta. Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 447-456. doi: 10.5802/jolt.385

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