Flows on compact solvmanifolds

The author proves that any $G$-induced flow on a compact solvable homogeneous space $G/D$ is ergodic on a submanifold $P(x)\subset G/D$. For almost any flow the closure of the orbit of the fixed point $\exp(tx)D$ is the submanifold $P(x)\subset G/D$.
Bibliography: 10 titles.