黎曼曲面

亏格为4黎曼曲面上循环群作用的拓扑分类

Topological Classification of Cyclic Group Action on Genus 4 Riemann Surface

基于二维倒立摆，构造倒立摆的能量函数，以能量优化为目标把能量函数映射成黎曼曲面，推导出黎曼度量矩阵。

Based on the 2D-inverse pendulum , build the energy equation , and take the least energy as target to change the equation into Riemann surface , then derive Riemann measure matrix .

HCMU度量是黎曼曲面上极值度量的一个退化情形，具有整体旋转对称性。

HCMU metric is a special kind of extremal metric on Riemannian surface with global rotational symmetric .

双曲型黎曼曲面上解析动力系统的周期点

Periodic Points of Analytical Dynamical Systems on Hyperbolic Riemann Surfaces

关于亏格大子零的紧致黎曼曲面上的割迹

Cut Locus on a Compact Riemannian Surface with Positive Genus

黎曼曲面上的φ-调和函数和φ-次调和函数

φ - harmonic and φ - sub harmonic Functions on Riemannian Surfaces

关于紧致黎曼曲面的割迹

Cut Locus on a Compact Riemannian Surface

覆盖空间的理论不仅在拓朴学中，而且在一些相关学科如微分几何，李群，黎曼曲面的理论中都有着重要的作用.覆盖同伦定理是覆盖空间的理论中的一个重要定理。

The theory of covering spaces is important not only in topology , but also in related disciplines such as differential geometry , the theory of lie Groups , and the theory of Rie-mann surfaces .

几乎乘积黎曼流形的超曲面

Hypersurfaces Immersed in an Almost Product Riemannian Manifold

带有位势的调和映射和对称黎曼流形的超曲面同形映射下的曲面场景的匹配算法的性能分析

Harmonic Maps with Potential and Hyper-surface in the Ricci Symmetric Riemannian Manifold Performance Analysis of Feature Correspondence Algorithm Based on Homography Constraint in Curved Scenes