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Jul 27, 2018 at 5:38 comment added Taras Banakh Thank you very much for the answer. By the way, it shows that the action of $SO(n)$ of the projective space $\mathbb RP^{n-1}$ is ballanced for every $n\ge 3$. Right? What about other Grassmannian manifolds?
Jul 27, 2018 at 5:28 vote accept Taras Banakh
Jul 27, 2018 at 0:14 history edited Tom Goodwillie CC BY-SA 4.0
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Jul 27, 2018 at 0:04 history answered Tom Goodwillie CC BY-SA 4.0