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

Zbl   EuDML

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 
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/JOLT_2005_15_2_a5/
@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},
     zbl = {1079.57025},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a5/}
}
TY  - JOUR
AU  - M. Kankaanrinta
TI  - Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions
JO  - Journal of Lie Theory
PY  - 2005
SP  - 447
EP  - 456
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a5/
ID  - JOLT_2005_15_2_a5
ER  - 
%0 Journal Article
%A M. Kankaanrinta
%T Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions
%J Journal of Lie Theory
%D 2005
%P 447-456
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2005_15_2_a5/
%F JOLT_2005_15_2_a5