Abstract
We show that ifG is a connected Lie group andH is a closed subgroup such that the dimension ofG/H is at least 2, then there exists a nontrivial oneparameter subgroup ofG whose action onG/H has no dense orbits. This strengthens a result ofC. Scheiderer [10].
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Dani, S.G. Flows with periodic factors on homogeneous spaces. Monatshefte für Mathematik 103, 15–25 (1987). https://doi.org/10.1007/BF01302707
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DOI: https://doi.org/10.1007/BF01302707