On the existence of extremal teichmüller mappings
On the existence of extremal teichmüller mappings
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DOI：
10.1080/17476938708814272
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发表时间：
1987-12
影响因子：
0.9
通讯作者：
K. Strebel
中科院分区：
文献类型：
--
作者：
K. Strebel
到目前为止，唯一已知的极值Teichmuller映射存在给定边界值的充分条件是框架映射准则。在一定条件下，它保证了与有限范数的二次微分相关联的极值映射的存在性。在这个初步的报告中，将给出一个充分条件存在的极值Teichmuller映射的磁盘无限多个明确的边界点（称为多边形），如果框架映射标准失败。
So far, the only known sufficient condition for the existence of an extremal Teichmuller mapping with given boundary values is the frame mapping criterion. It assures, under certain conditions, the existence of an extremal mapping associated with a quadratic differential of finite norm. In this preliminary report, a sufficient condition will be given for the existence of an extremal Teichmuller mapping of the disk with infinitely many distinguished boundary points (called a polygon), if the frame mapping criterion fails.