Quadratic Differentials: A Survey
Quadratic Differentials: A Survey
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二次微分：调查
DOI：
10.1007/978-3-0348-7121-1_13
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
K. Strebel
中科院分区：
文献类型：
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作者：
K. Strebel
二次微分已成为几何函数论中的一个重要对象。它们与极值拟共形映射有关-与Teichmüller映射[19]有关，但也与极值qc的一般问题有关。映射[2]，[10] -，具有施利希特函数的极值问题，如系数问题[18]，[12]，[6]，具有模问题[17]，[13]，极值长度[5]，甚至具有测量叶理[4]。但他们不仅仅是工具：有一个几何理论的二次微分，有自己的权利存在[6]，[12，[16]。这是本文的目的是给一个调查的基本方面，这一理论，因为它已经制定了Teichmüller和许多其他作者在多年后，他们第一次出现在Teichmüller的著名映射定理。
Quadratic differentials have become an important object in geometric function theory. They are connected with extremal quasiconformal mappings — with Teichmüller mappings [19], but also with the general problem of extremal qc. mappings [2], [10] -, with extremal problems for schlicht functions, like coefficient problems [18], [12], [6], with moduli problems [17], [13], extremal length [5] and even with measured foliations [4]. But they are not just tools: There is a geometric theory of quadratic differentials which has its own right of existence [6], [12, [16]. It is the purpose of this article to give a survey of the basic aspects of this theory as it has been developped by Teichmüller and numerous other authors in the years after their first appearance in Teichmüller’s famous mapping theorem.
DOI：
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发表时间：
2017
期刊：
影响因子：
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作者：
El Helou S.;Kume N.;Kobayashi S.;Kondo E.;Uranishi Y.;Okamoto K.;Tamura H;Kuroda T.;Yuji Odaka
通讯作者：
Yuji Odaka