immersions

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双语例句

• Let M be an m-dimensional Riemannian manifold, H~ n be the standard hyperbolic space with constant sectional curvature-1. In this paper we will study isometric minimal immersions of M into H~ n, and obtain the main results as follows.
  设M是一个m维黎曼流形，H~n是标准的双曲空间，它有常数截曲率-1。
• Harmonic Maps and Minimal Immersions in Pseudo-Riemannian Manifold
  伪黎曼流形的调和映射与极小浸入
• Null-homotopic immersions of an m-manifold in an ( m+ 1)-manifold
  m-维流形到（m+1）-维流形的零伦浸入的分类
• Classification of Minimal 3-type Surfaces of S~ 4 via the High Order Standard Immersions of the Sphere
  球面高次标准浸入下S~4极小3型曲面的分类
• Immersions and neat embeddings of ( t+ 1)-equivalent manifolds with boundary
  （t＋1）等价带边流形的浸入和整齐嵌入
• Existence of immersions of n-manifolds in manifolds of dimension 2n 2 or 3n 3
  n维流形在2n-2和2n-3维流形中的浸入的存在性
• 2-Harmonic Isometric Immersions of 3-Dimentional Sub-manifolds With Parallel Mean Curvature Vector
  具有平行平均曲率向量场的三维子流形的2-调和等距浸入
• Soliton Theory of Harmonic Maps and Isometric Immersions and Their Darboux Transformations
  调和映射与等距浸入的孤立子理论及其Darboux变换
• In this paper, we study a kind of ideal immersions which were introduced by Chen. Einstein, conformally flat, semi-symmetric and semi-parallel immersions of a real-space-form are considered in Chapter 1.
  本文研究了Chen引入的一类理想浸入问题。第一章详细研究了实空间形式中的爱因斯坦、共形平坦、半对称和半平形浸入。
• A curvature pinching theorem is given on conformal immersions of two spheres into CPN in this paper.
  本文证明一个关于球面S~2到CP~N中的共形极小浸入的曲率pinching定理。