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单词 Warped model
释义

Warped model

中文百科

扭曲几何 Warped geometry

(重定向自Warped model)

数学与物理学中,特别是在微分几何与广义相对论中,扭曲几何warped geometry)是度规张量可写成如下形式的黎曼流形或劳仑兹流形:

注意到几何可以分解成y几何与x几何的卡氏积(Cartesian product),不过x部份受到扭曲,亦即它的大小尺度受到了一个y座标的纯量函数f(y)的调整。基于此理由,扭曲几何的度规常称为「扭曲积度规」(warped product metric)。

扭曲几何很有用处,以其可以运用分离变量法来解与它们有关的偏微分方程序。

英语百科

Warped geometry 扭曲几何

(重定向自Warped model)

In mathematics and physics, in particular differential geometry and general relativity, a warped geometry is a Riemannian or Lorentzian manifold whose metric tensor can be written in form

Note that the geometry almost decomposes into a Cartesian product of the y geometry and the x geometry – except that the x-part is warped, i.e. it is rescaled by a scalar function of the other coordinates y. For this reason, the metric of a warped geometry is often called a warped product metric.

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更新时间:2025/6/21 2:30:22