This paper uses parametric quinary Bézier curve to interpolate a given special curve, whose position, tangent direction, curvature vector and torsion are prescribed at each endpoint.
在给定空间曲线两个端点的位置、切方向、曲率向量和挠率的情况下 ,用参数化五次B啨ｚｉｅｒ曲线来对这条空间曲线进行几何Hermite插值 ,证明了插值问题局部可解 ,解有两个自由度 ,还给出了一种确定这两个自由度的方法 ;并证明了在适当的假设下插值有 6阶逼近
In the first part, we consider the compact totally real pseudoumbilical submanifolds Mn that have nonzero parallel normalized mean curvature vector in complex space forms M(n+p)(c).
(1)讨论了复空间形式(?)~(n+p)((?))中具有非零平行法平均曲率向量的紧致全实伪脐子流形M~n，得到了(ⅰ)如果M~n在其点x的截面曲率的下确界函数K(x)满足条件：则M~n是全脐的。
On Submanifolds with Parallel Mean Curvature Vactor in Space Forms;
关于平行平均曲率向量的子流形(英文)
Pseudoumbilical Submanifolds with Parallel Mean Curvature Vector;
具有平行平均曲率向量的伪脐子流形
Submanifolds with Parallel Mean Curvature Vector of Constant Curvature;
常曲率空间中具有平行平均曲率向量的伪脐子流形
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
The Compact Pseudo-umbilical Submanifold with Parallel Mean Curvature in the Constant Curvature Space;
常曲率空间N~(n+p)(c)中具有平行平均曲率向量的紧致伪脐子流形
On the Pseudo-umbilical Submanifolds with Parallel Mean Curvature Vector in Constant Curvature Space;
常曲率流形中具有平行中曲率向量的伪脐子流形
The Compact Pseudo - Umbilical Submanifold With Pallaedmean Curvature In The Constant Curved Manifold S~(n+p)(c);
常曲率空间S~(n+p)(C)中具有平行中曲率向量的紧致伪脐子流形
The compact pseudo-umbilical submanifold with parallel mean curvature vector in the Riemannian manifold with constant curvature
常曲率黎曼流形中具有平行中曲率向量的紧致伪脐子流形
On submanifolds with parallel mean curvature in a locally symmetric quasi-constant curvature Riemannian manifold
局部对称拟常曲率黎曼流形中具有平行平均曲率向量的子流形
Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces;
局部对称空间中具有平行平均曲率向量的子流形
SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN LOCALLY SYMMETRIC SPACES;
局部对称空间中具有平行平均曲率向量的子流行
On the Submanifold with Parallel Mean Curvature in Locally Symmetrical Space;
局部对称空间中具有平行中曲率向量的子流形(英文)
Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space;
局部对称空间中具有平行中曲率向量的伪脐子流形
Submanifolds with parallel mean curvature vector in pinched riemannian manifolds;
Pinched黎曼流形中具有平行平均曲率向量的闭子流形
Rigidity Theorems for Pseudo-umbilical Submanifolds with Parallel Mean Curvature Vector;
具有平行平均曲率向量的伪脐子流形的刚性定理
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
The Submanifolds with Parallel Mean Curvature Vector in A Locally Symmetric Riemannian Manifold;
局部对称黎曼流形中具有平行中曲率向量的子流形
On Randers Metrics of Isotropic S-Curvature
具迷向S-曲率的Randers度量