Meromorphic potentials and smooth surfaces of constant mean curvature
Meromorphic potentials and smooth surfaces of constant mean curvature
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DOI：
10.1007/pl00004295
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发表时间：
1997-04
影响因子：
0.8
通讯作者：
J. Dorfmeister;G. Haak
中科院分区：
文献类型：
--
作者：
J. Dorfmeister;G. Haak
这项工作是基于J.~ Dorfmeister，F.~ Pedit和H.~ Wu [GANG and KITCS preprint，Report KITCS 94 -4-1]构造映射，作为中的单位圆盘，其像是常平均曲率的曲面。它们从某些亚纯1形式开始，所谓的亚纯势，其取值于上的扭圈代数。给出了所构造的映射为浸入的亚纯势的充分必要条件。这个版本修正了一些印刷错误和小的TeX问题。
This work is based on the approach developed by J.~Dorfmeister, F.~Pedit and H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps,being the unit disk in, whose images are surfaces of constant mean curvature. They start from certain meromorphic one forms, so called meromorphic potentials, which take values in a twisted loop algebra over. The authors give necessary and sufficient conditions on the meromorphic potential for the constructed mapto be an immersion. This revision corrects several misprints and minor TeX problems.