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。
• 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
• 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
• 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
• Some Results on Immersions of Dold Manifolds
  关于Dold流形的浸入的某些结果
• In this paper, we present the classification of minimal 3-type surfaces of S~ 4 via the high order standard immersions of the sphere.
  本文通过球面到欧氏空间的高次标准浸入研究S~4上的极小3型曲面，并拾出了它的分类。
• 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。
• In this paper, we discuss 2-harmonic isometric immersions in a sphere with parallel mean curvature vector. Conditions to become into a minimal immersion and pinching theorems on the second fundamental form are obtained.
  本文讨论了单位球面中具平行平均曲率向量的2－调和等距浸入，获得其成为极小浸入的充分条件和关于第二基本形式的Pinching定理。
• In this paper. we study 2-harmonic isometric immersions in a conform flat Riemannian manifold. Some conditions under which they turn into minimal immersions or totally geodesic immersions are arreived at.
  本文研究共形平坦黎曼流形中的2-调和等距浸入，获得了使其成为极小浸入或全测地浸入的一些充分条件。
• Debonding was detected for hot water immersions.
  热水浸泡后能检验出脱粘。