On a class of conformal metrics, with application to differential geometry in the large

On a class of conformal metrics, with application to differential geometry in the large
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关于一类共形度量及其在大微分几何中的应用

DOI:
10.1007/bf02564362
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发表时间:
1965
影响因子:
0.9
通讯作者:
R. Finn
R. Finn
中科院分区:
数学2区
文献类型:
--
作者:
R. Finn

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对于HOPF和RINOW [1]所提出的完全开的二维曲面概念,一个最引人注目的证明是COH~-VOSSE~[2]定理,即如果~是这样的曲面,并且如果高斯曲率K在~上绝对可积,则
One of the most striking justifications for the concept of a complete, open two-dimensional sur/ace, as introduced by HOPF and RINOW [1], is the theorem of COH~-VOSSE~[2], that if~ is such a surface, and if the Gaussian curvature K is absolutely integrable over~, then