Mius minimal surface in sphereS~n(1);
球面S~n(1)中的Mius极小曲面
About the general parametric solutions for minimal surface equations;
关于极小曲面方程的参数通解
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
For the min-imal case,we show that there are numerable indefinitive compact minimal surfaces without bound-ary in this 1-parameter family of surfaces and all the other innumerable indefinitive surfaces in this1-parameter family of surfaces are comp.
特别地,在极小曲面情形,证明了此单参数族的曲面中含有可数无穷多个互不相同的紧致无边极小曲面,同时还含有非可数无穷个完备非紧致的极小曲面。
The theory of complete minimal surfaces in R~3 was a beautiful topic of differential geometry.
R3中完备极小曲面理论是微分几何中一个非常漂亮的一个研究课题,其中一个著名的问题是Calabi在二十世纪六十年代提出的猜想:在R3的半空间中是否存在坐标函数有界的完备极小曲面。
Minimal surfaces is the surface whose average curvature is zero.
本文主要研究四元数射影空间中的特殊曲面-极小曲面。
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。
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 。
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。
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。
In this thesis, we consider the minimal surfaces on the unit disk D and some characterizations of the Bloch minimal surfaces are given.
第三部分描述了Bloch极小曲面在圆盘上平均振荡的有界性。
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
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
Minimal Surfaces in the Minkowski-3-space
三维Minkowski空间中的极小曲面
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
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
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
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
A Complete Minimal Surface between Two Parallel Planes in R~3;
R~3中介于两平行平面之间的一个完备极小曲面
This paper investigates several equiyalent propositions of minimal curve surface by means of the Euler equation of calculus of variations.
本文通过变分法欧拉方程推导出极小曲面的几个等价命题。
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
THE SPECTRUM OF THE LAPLACIAN ON MINIMAL HYPERSURFACES IN A SPHERE;
球面中极小超曲面的Laplacian谱
Equivariant Minimal S~3 with Constant Curvature in CP~3;
CP~3中的常曲率等变极小3-球面
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
Quasi-Minimal Mean-Curvature-Variation Flow and its Application in G~2 Surface Modeling
拟极小平均曲率变差流及其在G~2曲面构造中的应用
a romantic ballad that is pure corn
极为感伤的浪漫小曲.
Pitzer-Debye-Huckel Limiting Slopes for Water and Equations of Least-squares Camber Fitting
水的Pitzer-Debye-Hückel极限梯度及最小二乘曲面拟合多项式
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
A Study of The Extreme Value Problem of Bezier Curve and Curve Surface;
Bezier曲线与曲面极值问题的研究
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