1) Dupin hypersurface
Dupin超曲面
1.
In this paper, we calculate the sectional curvatures of the Gauss map of M is calculated and the Gauss map of submanifolds immersed in Dupin hypersurfaces is studied.
在子流形的高斯映照 (Ⅰ )的基础上 ,计算了M上高斯映照的截面曲率 ,讨论了当外围空间N为Dupin超曲面时 ,子流形M的高斯映
2.
Let M be a closed orientable Dupin hypersurface of a space form.
作者证明了如下结果 :设M是空间形式的闭定向Dupin超曲面 ,其截面曲率为正 ,M至少有两个不同主曲率 。
2) Hyperbolic hypersurface
双曲超曲面
3) hypersurface
[,haipə'sə:fis]
超曲面
1.
Study on hypersurface with constant mean curvature in sphere;
球面上的常平均曲率超曲面
2.
Compact Hypersurface with Constant rth-Mean Curvature in R~(n+1);
R~(n+1)中常高阶平均曲率超曲面
3.
Hermitian Manifolds and U-cosymplectic Hypersurfaces Axiom;
Hermitian流形和U上率超曲面公理(英文)
4) superconvexity
超凸曲面
1.
Introduce the calculating methods of rigid plastic laminates’ carrying capacity,which apply internal access or excircle polygons to replace the intrinsic nonlinear superconvexity.
介绍了利用内接或外切多边形去取代原有的非线性超凸曲面进行硬塑薄壳承载能力计算的方法。
5) zero super-curve surface
零超曲面
6) hypersurfaces
超曲面
1.
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
2.
In this paper, the notion of stability of hypersurfaces with constant mean curvature was considered.
介绍了具有常数平均曲率的超曲面的稳定性概念。
3.
In this paper,stabilities of hypersurfaces with constant mean curvature were studied bymeans of methods of moving and eigenvalues of Laplacian,Some estimates of Gaussiancurvature of conformal measure of hypersurfaces with constant mean curvature immergedin 3-dimensional manifold of quasi-constant curvature were obtained.
利用活动标架法及Ｌａｐｌａｃｉａｎ的特征值方法研究了三维拟常曲率流形中的具有常数平均曲率的超曲面的稳定性，给出了三维拟常曲率流形中具有常数平均曲率的超曲面的共形度量的高斯曲率之上界估计。
补充资料：Dupin定理
Dupin定理
Dupin theorem
[补注]对于历史，可见【A21，P.398，或[A31，P.361.Dupin定理!l加l护nd长如阳”;八。neoa TeopeM，1 已知三族曲面构成三重正交曲面系(戚爪ho即nals声telnofs哪伪偏)，那么不同曲面族中任两张曲面的交线必是它们中每张的曲率线.例如，共焦二阶有心曲面沿曲率线相交.Ch.D印in最先给出这个定理的证明([l])，故定理以他的名字命名.
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