Last Updated:2025/11/22
Sentence

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。

Quizzes for review

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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Related words

homogeneous space

Noun
Japanese Meaning
群が全体に対称的に作用することにより、一様な構造を有する多様体または位相空間。 / 対称作用により、すべての点が等しく扱われる性質をもつ空間。
What is this buttons?

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。

Related Words

plural

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