Geodesic
Dynamical systems on homogeneous spaces of semisimple Lie groups
Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1089-1104.

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In this paper, one considers spectral and metric properties of flows (and cascades) which arise by restricting the action of a semisimple Lie group on a homogeneous space to a one-parameter subgroup. 
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A. M. Stepin. Dynamical systems on homogeneous spaces of semisimple Lie groups. Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 1089-1104. http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a5/

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