Geodesic
Minimal linear Morse functions on the orbits in Lie algebras
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 9-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem stating that all Morse height functions are perfect on regular orbits of the adjoint action of compact semisimple Lie groups is proved. In the case of arbitrary linear representation of a compact Lie group we prove that all height functions are Bott functions on orbits of representation. The case of $\mathrm{SO}_{4}$ is studied in more detail. 
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     title = {Minimal linear {Morse} functions on the orbits in {Lie} algebras},
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V. A. Shmarov. Minimal linear Morse functions on the orbits in Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 9-16. http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a1/

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