On angles in Teichmuller spaces
On angles in Teichmuller spaces
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关于 Teichmuller 空间中的角
DOI：
10.1007/s00209-013-1249-3
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发表时间：
2014
影响因子：
0.8
通讯作者：
Shen Yuliang
中科院分区：
文献类型：
--
作者：
Hu Yun;Shen Yuliang
讨论了Teichmüller空间中两条曲线夹角的存在性，证明了在任意无限维Teichmüller空间中，存在无穷多个具有相同三个顶点的测地三角形，且满足其三条边具有相同的任意给定长度，而其三个夹角等于从0到0的任意给定三个可能不同的数.这意味着测地三角形的三个角之和可以等于无限维Teichmüller空间中从0到的任何给定数。
We discuss the existence of the angle between two curves in Teichmüller spaces and show that, in any infinite dimensional Teichmüller space, there exist infinitely many geodesic triangles each of which has the same three vertices and satisfies the property that its three sides have the same and arbitrarily given length while its three angles are equal to any given three possibly different numbers from 0 to. This implies that the sum of three angles of a geodesic triangle may be equal to any given number from 0 toin an infinite dimensional Teichmüller space.