Geodesic
Horospherical flows on homogeneous spaces of finite volume
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 161-170

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Horospherical flows are considered on homogeneous spaces of finite volume. An ergodic decomposition of such flows is constructed in explicit form, and it is proved that the horospherical orbits have constant dimension. A conjecture of Raghunathan is proved for the closure of the orbits of horospherical flows under the additional assumption that the homogeneous space is compact. 
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     author = {A. N. Starkov},
     title = {Horospherical flows on homogeneous spaces of finite volume},
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A. N. Starkov. Horospherical flows on homogeneous spaces of finite volume. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 161-170. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a8/