Riemann面上带cusp奇点的共形度量

Conformal metrics on Riemann surfaces with cusp singularities

Riemann面上带有奇点的度量是复几何中重要的研究对象.对Riemann面上带有cusp奇点且满足面积和Calabi能量有限的共形度量进行研究,得到HCMU度量在cusp奇点附近精确的表达式.

The metric on Riemann surface with singularities is one of geometry. We study conformal metrics on Riemann surfaces with only and Calabi energy are both finite, and obtain the exact expression important objects in complex cusp singularities, whose area of HCMU metrics near cusp singularities.