| 紧黎曼曲面上锥度量的高斯博内公式（英文） |
| |
| 作者姓名： | 方晗兵 许斌 杨百瑞 |
| |
| 作者单位： | 1.Mathematics Department,Stony Brook University;2.CAS Wu Wen-Tsun Key Laboratory of Mathematics and School of Mathematical Sciences,University of Science and Technology of China;3.School of Mathematical Sciences,University of Science and Technology of China |
| |
| 基金项目： | Support by the Project of Stable Support for Youth Team in Basic Research Field,CAS Grant No YSBR-001;NSFC Grant Nos 12271495,11971450 and 12071449 |
| |
| 摘 要： | We prove a generalization of the classical Gauss-Bonnet formula for a conical metric on a compact Riemann surface provided that the Gaussian curvature is Lebesgue integrable with respect to the area form of the metric.We also construct explicitly some conical metrics whose curvature is not integrable.
|
|
|
