Prescribing curvature on compact surfaces with conical singularities
Prescribing curvature on compact surfaces with conical singularities
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DOI：
10.1090/s0002-9947-1991-1005085-9
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发表时间：
1991-02
影响因子：
1.3
通讯作者：
M. Troyanov
中科院分区：
文献类型：
--
作者：
M. Troyanov
本文研究了具有锥型奇点的曲面上的Berger-Nirenberg问题，即讨论了Riemann曲面上的函数是具有给定锥型奇点集的共形度量的高斯曲率的条件。
We study the Berger-Nirenberg problem on surfaces with conical singularities, i.e, we discuss conditions under which a function on a Riemann surface is the Gaussian curvature of some conformal metric with a prescribed set of singularities of conical types.