Differentiable Manifolds in Euclidean Space.

Differentiable Manifolds in Euclidean Space.
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欧几里得空间中的可微流形。

DOI:
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发表时间:
1935
影响因子:
11.1
通讯作者:
H. Whitney
H. Whitney
中科院分区:
综合性期刊1区
文献类型:
--
作者:
H. Whitney

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本文总结了欧氏空间E'中抽象可微流形的嵌入和解析流形对这类流形的逼近的一些定理。作为一个推论,注意到任何可微流形都可以被赋予一个解析黎曼度量。
We present here a summary of some theorems on the imbedding of abstract differentiable manifolds in Euclidean space E' and on the ap-proximation to such manifolds by analytic manifolds. As a corollary it is noted that any differentiable manifold may be given an analytic Riemannian metric.