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球面子流形
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  spherical submanifold
     In this paper we prove a result as following: A complete connected submanifold ineuclidean space with constant canonical support function is a spherical submanifold or alinear subspace.
     本文证明了下述结论:欧氏空间中完备连通且具有常典则支撑函数的子流形必为球面子流形或通过原点的线性子空间,从而改进了关于欧氏空间子流形的一个经典结果。
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  sphere submanifold
     ON THE GLOBAL RIGIDITY THEOREM OF SPHERE SUBMANIFOLD
     球面子流形的整体内在刚性定理
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  “球面子流形”译为未确定词的双语例句
     Some Results on Instability of Yang-Mills Field of Submanifolds in Euclidean Space and Standard Sphere
     欧氏空间和球面子流形中Yang-Mills场的一类不稳定性结果
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     Intrinsic Rigidity Theorems for Manifolds in a Sphere
     球面子流形的内蕴刚性定理
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     We improve the result in Li [1] and generalize a result on submanifolds in sphere to a locally symmetric and con formally flat Riemannian manifold.
     本文讨论局部对称共形平坦黎曼流形中紧子流形问题.改进了[1]的结果并将[2]中关于球面子流形的一个结果推广到局部对称共形平坦黎曼流形子流形.
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     SOME GLOBAL PINCHING THEOREMS OF SUBMANIFOLDS IN THE SPHERE
     球面子流形的几个整体Pinching定理
短句来源
     In this paper, two pinching theorems for the second fundamental form of manifolds in a sphere are given.
     获得了两个关于球面子流形的第二基本形式的整体Pinching定理。
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  相似匹配句对
     Submanifolds in a Pseudo-sphere
     伪球面上的子流形
短句来源
     Minimal Submanifolds in a Sphere
     球面上的极小子流形(英文)
短句来源
     Study of the spherical surface projection
     球面投影的研究
短句来源
     Analysis of the Distance between the Two Points on Spherical Surface
     试论球面距离
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     Conformal invariants of submanifolds
     子流形共形不变量
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  totally umbilical submanifold
We study a contact totally umbilical submanifold M of a Sasakian space form
      
The equality holds identically if and only if eitherMn is totally geodesic submanifold or n = 2 andMn is totally umbilical submanifold.
      
The equality case of the above inequality holds identically if and only if either M n is totally geodesic submanifold or n = 2 and M n is a totally umbilical submanifold.
      
It is well known that every totally umbilical submanifold of a space of constant curvature is either a small sphere or is totally geodesic.
      
  spherical submanifold
We construct an example of a compact "spherical" submanifold in a compact complex 3-space such that the germ of a mapping of the "sphere" into this submanifold cannot be extended to a certain point of the "sphere."
      
Moreover, we will prove that a spherical submanifold has parallel second fundamental form if and only if it has pointwise planar normal sections.
      


In this paper we prove a result as following: A complete connected submanifold ineuclidean space with constant canonical support function is a spherical submanifold or alinear subspace.

本文证明了下述结论:欧氏空间中完备连通且具有常典则支撑函数的子流形必为球面子流形或通过原点的线性子空间,从而改进了关于欧氏空间子流形的一个经典结果。

The compact submanifolds with a conformal variation immersed in a Riemannian manifold of con-stant curvature are studied,And some sufficient conditions for such submanifolds to be spherical or to-tally umbilical submanifold are obtainel.

研究了浸入一个常曲率黎曼流形中的具有一个共形变分的紧致子流形,得到了几个使这种子流形成为球面子流形或全脐子流形的充分条件.

We improve the result in Li [1] and generalize a result on submanifolds in sphere to a locally symmetric and con formally flat Riemannian manifold.

本文讨论局部对称共形平坦黎曼流形中紧子流形问题.改进了[1]的结果并将[2]中关于球面子流形的一个结果推广到局部对称共形平坦黎曼流形子流形.

 
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