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Constant curvature : ウィキペディア英語版 | Constant curvature
In mathematics, constant curvature is a concept from differential geometry. Here, curvature refers to the sectional curvature of a space (more precisely a manifold) and is a single number determining its local geometry. The sectional curvature is said to be constant if it has the same value at every point and for every two-dimensional tangent plane at that point. For example, a sphere is a surface of constant positive curvature. ==Classification== The Riemannian manifolds of constant curvature can be classified into the following three cases: * elliptic geometry – constant positive sectional curvature * Euclidean geometry – constant vanishing sectional curvature * hyperbolic geometry – constant negative sectional curvature.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Constant curvature」の詳細全文を読む
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