Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation

被引：0

作者：

L. A. Takhtajan

机构：

[1] Stony Brook University,Department of Mathematics

[2] Euler International Mathematical Institute,undefined

来源：

Theoretical and Mathematical Physics | 2014年 / 181卷

关键词：

uniformization; Riemann surface; projective connection; Fuchsian projective connection; monodromy group; Liouville equation; Liouville action; singular solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider real projective connections on Riemann surfaces and their corresponding solutions of the Liouville equation. We show that these solutions have singularities of a special type (a black-hole type) on a finite number of simple analytic contours. We analyze the case of the Riemann sphere with four real punctures, considered in V. I. Smirnov’s thesis (Petrograd, 1918) in detail.

引用

页码：1307 / 1316

页数：9