Last Updated:2025/11/22

The sphere Sn is a homogeneous space under the action of SO(n+1), since the group acts transitively on it.

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The sphere Sn is a homogeneous space under the action of SO(n+1), since the group acts transitively on it.

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球面 S^n は SO(n+1) が遷移的に作用する多様体であり、群が任意の点を他の点へ移せるため斉次空間となります。

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