We obtain two formulas about the covariant derivative of the coordinate functions on the unit sphere in Eucdidean space.
得到了欧氏空间中,单位球面上坐标函数关于某一特定标架场的协变微分的两个等式。
Let M be n-dimensional compact connected oriented hypersurfaces in a unit sphere S~(n+1)(1).
设M是单位球面S~(n+1)(1)中的n维(n■3)紧致连通定向超曲面,本文研究这种超曲面的曲率结构与拓扑性质,利用Lawson和Simons关于稳定k维流的不存在性与同调群消失定理,得到了曲率与拓扑的一个关系定理,从而对Cheng Q。
This paper considers submanifold with pararrel mean curvature vector and positive curvature in a unit sphere,and we get a pinching theorem of the length of Riemanian curvature tensor.
本文讨论了单位球面Sn+p中的具有平行中曲率向量的紧致正曲率子流形,给出了一个关于黎曼曲率张量长度平方的pinching定理。
Ball-covering Properties of Banach Spaces;
Banach空间中单位球面球覆盖的若干问题
Minimal Ball-Covering of the Unit Spheres in n-dimensional Normed Spaces;
n维赋范空间单位球面的极小球覆盖
Minimal Ball-Covering of the Unit Spheres in R～n;
R～n空间中单位球面的极小球覆盖
Ball-Covering Property of Banach Space and Quotient Space;
Banach空间及商空间的单位球面覆盖性质
Toeplitz Symbol Calculus on the Unit Sphere;
n维单位球面上的Toeplitz符号演算
The Moebius Minimal Submanifolds in a Unite Sphere;
单位球面上的Moebius极小子流形
On Extension of Isometries between Unit Spheres of c(Γ)-Spaces
c(Γ)型空间单位球面之间的等距延拓
A Type of Torus Immersed into the Unit Sphere of the Four-dimensional Complex Euclidean Space;
四维复欧氏空间的单位球面中的一类浸入环面
Gap Theorems of Hypersurface with Constant Mean Curvature in a Unit Sphere
单位球面内常平均曲率超曲面的间隙性
The Isometric Extension of the into Mapping from the Unit Sphere S(L~p(X,μ)) to S(L~p(T,v));
关于AL~p空间单位球面上等距算子的延拓问题
On Extension of Isometries between the Unit Spheres of Normed Spaces
有关赋范空间单位球面间等距算子延拓的探讨
Isometries Between the Unit Spheres of c_0-Sum of Strictly Convex Normed Spaces
严格凸赋范空间的c_0-和的单位球面之间的等距
A Note on Extension of Isometries on Unit Sphere of AL~p-Space
AL~p-空间单位球面等距算子的延拓的一个注记
The Isometric Extension of the Unit Spheres of C_0 and the Ulam Stability of a Seven Variable Jensen Type Equation;
C_0单位球面间的等距延拓和7-Jensen型方程的Ulam稳定性
Submanifold with Pararrel Mean Curvature Vector and Positive Curature in a Unit Sphere;
单位球面中具有平行中曲率向量的紧致正曲率子流形
Submanifolds in a Unit Sphere with Parallel Mean Curvature Vector
单位球面中具有平行平均曲率向量的子流形(英文)
Geometry on the Unit Tangent Bundle T_1S～(2n+1);
球面上单位切丛T_1S～（2n+1）的几何
Hypersurfaces with Parallel Moebius Ricci Curvature and Vanishing Moebius Form in the Unit Sphere;
单位球中Moebius Ricci曲率平行且Moebius形式消失的超曲面