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Killing–Hopf theorem
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Killing–Hopf theorem : ウィキペディア英語版
Killing–Hopf theorem
In geometry, the Killing–Hopf theorem states that complete connected Riemannian manifolds of constant curvature are isometric to a quotient of a sphere, Euclidean space, or hyperbolic space by a group acting freely and properly discontinuously. These manifolds are called space forms. The Killing–Hopf theorem was proved by and .
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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