Geodesic
A Property of Lie Group Orbits
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 47-50

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DOI

Let $G$ be a real Lie group and $X$ a real analytic manifold. Suppose that $G$ acts analytically on $X$ with finitely many orbits. Then the orbits are subanalytic in $X$ . As a consequence we show that the micro-support of a $G$ -equivariant sheaf on $X$ is contained in the conormal variety of the $G$ -action.
DOI : 10.4153/CMB-2000-006-8
Mots-clés : 32B20, 22E15 
Božičević, Mladen. A Property of Lie Group Orbits. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 47-50. doi: 10.4153/CMB-2000-006-8
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     title = {A {Property} of {Lie} {Group} {Orbits}},
     journal = {Canadian mathematical bulletin},
     pages = {47--50},
     year = {2000},
     volume = {43},
     number = {1},
     doi = {10.4153/CMB-2000-006-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-006-8/}
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