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Circle bundle : ウィキペディア英語版
Circle bundle
In mathematics, a circle bundle is a fiber bundle where the fiber is the circle \scriptstyle \mathbf^1.
Oriented circle bundles are also known as principal ''U''(1)-bundles. In physics, circle bundles are the natural geometric setting for electromagnetism. A circle bundle is a special case of a sphere bundle.
==As 3-manifolds==
Circle bundles over surfaces are an important example of 3-manifolds. A more general class of 3-manifolds is Seifert fiber spaces, which may be viewed as a kind of "singular" circle bundle, or as a circle bundle over a two-dimensional orbifold.

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「Circle bundle」の詳細全文を読む



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