伪球面

一个这样的曲面名为伪球面。

One such surface is known as the pseudosphere .

球面和伪球面上三角形的余弦定理

Cosine theorems of triangles on sphere and pseudo-sphere

本文指出，SO（3）手征场可作为伪球面的法矢量场，从而给出手征场与sine-Gordon系统间的对应及其几何解释。

In this paper , we show that the SO ( 3 ) chiral field can be regard as the normal Vector field over the pseudo-spherical surface , and thus obtain the correspondence between chiral field and sine-Gordon system , as well as the geometrical interpretation of chiral field .

利用手征场、伪球面的对偶性质，将手征场与s-G系统联系起来，并将Backlund变换、Riccati方程等表为同一动力学系统的有关性质在不同标架中规范不变的表现。

By means of the dual symmetry between chiral field and the pseudo-spherical surface , we are able to connect chiral field with s-G system , and express Backlund transformation , Riccati equation in the gauge invariant representations of the related properties of the same dynamical system in different frames .

伪球面中的常曲率类空极小球面

A space - like minimal sphere with constant curvature of the pseudo sphere

伪球面及其子流形的一些性质

Some properties of Pseudo & Sphere and its Submanifolds

建立在伪球面上的非线性控制系统

Nonlinear control systems on pseudo - sphere

不但给出了伪球面的第一基本形式、第二基本形式及第三基本形式，而且给出了一般曲面的第三基本形式。

The article not only presents the first , second and third elemental form of pseudo sphere , but also the third elemental form of conoid and curve .

本文旨在利用微分几何的方法，给出球面和伪球面上三角形的余弦定理的一个简便的内蕴证明。

Our goal in this paper is to give some explicit intrinsic proofs of thd cosine theorems of triangles on the sphere and the pseudo-spheres froms the point of view of differential geometry .

伪黎曼球面和伪双曲空间的子流形

Submanifolds of Pseudo-Riemannian Sphere and Pseudo-Hyperbolic Space