双曲平面 meaning in English
hyperbolic plane
Examples
- Indeed, the reader who is slightly familiar with tessellations of the sphere, the eaclidean plane and the hyperbolic plane, can easily prove the following result .
事实上，稍微熟悉球面、欧几里得平面和双曲平面的分格的读者，都能容易地证明出下面的结果。 - Secondly , in this part , we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane , and investigate the relationship between the embeddedness of the curve and its average geodesic curvature . finally , we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example , whether there is a non - circular polynomial curve of constant width , etc . ) in the second part , we will first follow the ideas of gage - hamilton [ 28 ] , gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane , which is from physical phenomena
其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题(如是否存在非圆的多项式常宽曲线