Zhiwen Xiong, Xu Xu, Chao Zheng，Generalized circle patterns on surfaces with boundary
发布时间：2025-04-19点击次数：
-
发表刊物：To appear in Commun. Contemp. Math.
-
关键字：Generalized circle patterns; Existence; Combinatorial curvature flow
-
摘要：In [4], Guo-Luo generalized Bobenko-Springborn’s hyperbolic circle patterns on closed surfaces to surfaces with boundary, and proved its rigidity. In this paper, we prove the existence of Guo-Luo’s generalized circle patterns with prescribed combinatorial curvatures on surfaces with boundary by the continuity method. This result provides a partial answer to a question posed by Guo-Luo in [4]. Furthermore, we introduce two combinatorial curvature
flows associated with these generalized circle patterns on surfaces with boundary, and prove the long-time existence and convergence of the solutions to these combinatorial curvature flows.
-
论文类型：期刊论文
-
是否译文：否
+
徐旭
个人信息
博士生导师
硕士生导师- 教师英文名称：Xu Xu
- 教师拼音名称：Xu Xu
- 电子邮箱：
- 学历：研究生毕业
- 办公地点：武汉大学雷军科技楼A430
- 性别：男
- 联系方式：xuxu2@whu.edu.cn
- 毕业院校：中国科学院数学与系统科学研究院
曾获荣誉：
- 国家级青年人才计划
- 湖北省高层次人才特殊支持计划
- 武汉大学弘毅青年学者
其他联系方式
- 邮编:
- 通讯/办公地址:
- 邮箱:
手机版