Geodesic
Solvable homogeneous flows
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 243-260

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The “dissipativity–conservativity” alternative is proved and an ergodic decomposition for solvable flows is obtained. Figures: 1. Bibliography: 14 titles. 
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A. N. Starkov. Solvable homogeneous flows. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 243-260. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a15/