论文标题

部分可观测时空混沌系统的无模型预测

Constructing constant curvature metrics on Riemann surfaces with singularities

论文作者

Wei, Zhiqiang

论文摘要

通过通过某种Meromoromormormormormormormormormormormormormormormormormormormor的构造,我们将在带有奇异性的Riemann表面上明确构造一种恒定曲率的共形指标。作为一个应用程序,我们将使用两个圆锥形奇点对$ s^{2} $上的常数曲率进行分类,Troyanov首先使用投影连接在\ cite {tr89}中证明了这一点。

By constructing an ODE through a kind of meromorphic 1-forms, we will give an explicit construction of a kind of conformal metrics of constant curvature on Riemann surfaces with singularities. As an application, we will classify constant curvature one metrics on $S^{2}$ with two conical singularities, which was first proved by Troyanov in \cite{Tr89} by using projective connection.

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