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Results tagged with homogeneous-spaces
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user 19545
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Write homogeneous spherical space forms as coset spaces
Hi,
Let $S=G/K$ be a sphere written as coset space. I know there are just few possibilities for $G$, and $K$ due to the classification of compact connected groups that can be transitive on a sphere.
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CommunityBot
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Write homogeneous spherical space forms as coset spaces
so what are the spherical space forms homogeneous under? Starting from various ways to write the spheres themselves $S^{n-1} = SO(n)/SO(n-1)$, $S^{2n-1} = SU(n)/SU(n-1)$ and $S^{4n-1} = Sp(n)/Sp(n-1)$ …
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