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Timeline for How special are homogeneous spaces?

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May 13, 2021 at 2:52 comment added Ryan Budney The answer is "extremely special". There are plenty of restrictions on these manifolds. Take a look at the $2$ and $3$ dimensional cases, for example. But there is a long history to this question, going back to the 60's.
May 12, 2021 at 23:51 history became hot network question
May 12, 2021 at 16:02 answer added Stefan Waldmann timeline score: 10
May 12, 2021 at 16:00 history edited GFR CC BY-SA 4.0
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May 12, 2021 at 15:55 comment added alvarezpaiva In the first question, you have to specify what sort of action you want. Besides the trivial action, every manifold admits vector fields and hence non-trivial $\mathbb{R}$ actions.
May 12, 2021 at 15:49 history asked GFR CC BY-SA 4.0