polar hypersurface

We consider a solutionfof a certain Dirichlet Problem on a domain in an elliptic sphereΩ,whose boundary is a minimal hypersurface and we prove a Poincare type inequality forf.考虑椭圆球面Ω中以极小超曲面Mn-1为边界的区域上Dirichlet问题的解,得到了相应的Poincare型不等式,进一步给出了Mn-1第一特征值的下界估计。smP汉语字典

Using moving frames method,the authors classify the semi symmetric hypersurfaces in a space N n +1 ( c )( c ≠0, n ≥3) with constant curvature,and prove the connected and compact semi symmetric minimal hypersurfaces in a unit sphere S n+1 (n ≥3) are either totally geodesic or the clifford minimal hypersurfaces.利用活动标架法给出常曲率空间Nn+ 1(c) (c≠ 0 ,n≥ 3)的半对称超曲面的分类 ,并证明了单位球面Sn+ 1(n≥ 3)上连通紧致的半对称极小超曲面或是全测地的 ,或是Clifford极小超曲面 。smP汉语字典

in is paper,one construct a class of maximal hypersurfaces in the de Sitter space S14 with zero Gauss-Kronecker Curvature,which are the images of olar mas of minimally immersed surfacesξ:V→H4 in the 4-dimensional hyperbolic space.构造了de Sitter空间S1中的一类具有零Gauss-Kronecker曲率的极大超曲面,它们是双曲空间H4中一类极小浸入曲面ξ:V→H 4的"Polar Map"像。smP汉语字典

In this paper,compact minimal hypersurfaces in the complex and qua-ternionic projective spaces CP￣n and QP￣n are studied.本文研究复射影空间ＣＰ￣ｎ和四元数射影空间ＱＰ￣ｎ中的紧致极小超曲面，对其上Ｊａｃｏｂｉ算子的最小特征值给出了一个最佳上界估计，由此给出了ＣＰ￣ｎ和ＱＰ￣ｎ中广义赤道的一个新的特征。smP汉语字典

In this paper, we investigate complete minimal hypersurfaces in the Euclidean space R~4 with vanishing Gauss-Kronecker curvature.本文主要研究R~4中满足Gauss-Kronecker曲率恒为零的极小超曲面。smP汉语字典

Minimal Hypersurfaces with Vanishing Gauss-Kronecker Curvature in R～4;R～4中Gauss-Kronecker曲率为零的极小超曲面smP汉语字典

THE SPECTRUM OF THE LAPLACIAN ON MINIMAL HYPERSURFACES IN A SPHERE;球面中极小超曲面的Laplacian谱smP汉语字典

Maximal Hypersurfaces with zero Gauss-Kronecker Curvature in the de Sitter Space S_1~4;S_1~4中具有零Gauss-Kronecker曲率的极大超曲面smP汉语字典

A Class of Relative Extremal Hypersurface and Their Bernstein Property一类相对极值超曲面及其Bernstein性质smP汉语字典

Equivariant Minimal S～3 with Constant Curvature in CP～3;CP～3中的常曲率等变极小3-球面smP汉语字典

Research on Modeling Minimal Surfaces Based on Weighted B-spline;基于加权B-样条的极小曲面造型研究smP汉语字典

Design of Rational Bézier Minimal Surface: An Extension of Dirichlet Approach;有理Bézier极小曲面设计：Dirichlet方法的推广smP汉语字典

Minimal Surfaces in the Minkowski-3-space三维Minkowski空间中的极小曲面smP汉语字典

A High-Order PDE Noise Removal Model Based on Minimal Surface基于极小曲面的高阶PDE图像去噪模型smP汉语字典

Solution of conditional extremum of quadric form on hypersurface by using the matrix method二次型在超曲面上条件极值的矩阵解法smP汉语字典

An independent country that is very small in area and population.超小国家一个面积狭小,人口极少的独立国家smP汉语字典

Fairing Minimal Surface by 4-Point Interpolation Subdivision Scheme;利用四点插值细分法构造光顺极小曲面smP汉语字典

Construction of Minimal Surfaces in R～3 with Higher Winding Order Ends;R～3中具有多重开口的极小曲面的构造smP汉语字典

Researches on Minimal Surfaces and Optimal Methods in CAD Systems;CAD系统中的极小曲面及其优化方法的研究smP汉语字典

Sectional Curvature of Compact Minimal Submanifolds of Locally Symmetric Manifolds;局部对称空间中的紧致极小子流形的截面曲率smP汉语字典

On Real-analytic Infinitesimal CR Automorphisms of the Rigid Cubic Hypersurfaces in C~2C~2中三次刚性超曲面的无穷小CR自同构smP汉语字典

Numerical Simulation of Ground Disturbance of Extra-Shallow-Underground-Pipe Jacking with Short-Radius Curve超浅层小半径曲线顶管地面扰动数值模拟分析smP汉语字典

Relational Match with Hybrid Minimum Error for Object Recognition of Superquadrics综合型最小误差关系匹配超二次曲面物体识别smP汉语字典