Geodesic
On two results of Singhof
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 379-383

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For a compact connected semisimple Lie group $G$ we shall prove two results (both related with Singhof's paper [13]) on the Lusternik-Schnirelmann category of the adjoint orbits of $G$, respectively the 1-dimensional relative category of a maximal torus $T$ in $G$. The techniques will be classical, but we shall also apply some basic results concerning the so-called $\mathcal A$-category (cf. [14]).
Classification : 55M30, 55P50, 57T15, 57T20
Keywords: Lusternik-Schnirelmann category; Lie groups; adjoint orbits 
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     title = {On two results of {Singhof}},
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Mare, Augustin-Liviu. On two results of Singhof. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 379-383. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a19/