Study on hypersurface with constant mean curvature in sphere;
球面上的常平均曲率超曲面
The properties of a riemannian foliation with parallel mean curvature on a Riemannian manifold;
常曲率空间中具有相同常平均曲率的黎曼叶状结构的一些性质
The classification of space-like surfaces with parallel mean curvature vector of an indefinite space form;
不定空间形式中具平行平均曲率向量的类空曲面(英文)
This paper proves that, within the general parameters of surface, by the Gauss equation and the average equation, the average curvature expressed as a constant is either plane or spherical surface, Also, it provides proofs of the basic forms (Types Ⅰ and Ⅱ) of the surface, and of the expression of Codazzi equation while the parameter curve of the surface represents the grid of the curvature line.
在曲面的一般参数下，利用 Ｇａｕｓｓ方程的表达式证明了平均曲率为常数的曲面或者是平面，或者是球面；同时证明了曲面的参数曲线取曲率线网时，曲面的第Ｉ、Ⅱ基本形式及Ｃｏｄａｚｚｉ方程的表达式。
In the terrain match algorithm, the terrain is divided into different areas according to the average curvature of the terrain.
在地形匹配算法中,依据地形平均曲率划定地形范围,地形平缓的地带采用两点匹配法,变化较为剧烈的地带采用三点匹配法。
This paper mainly proves the function relationship between the Goss curvature and the average curvature of curved surface vs.
本文主要论证了曲面与其平行曲面的高斯曲率和平均曲率间的函数关系式,从而进一步讨论了曲面与其平行曲面间的相关性质。
This paper studies two important classes of(α,β)-metrics in the form F=(α+β)m+1/αm and F= α +εβ+2β2/α-β4/(3α3) on an n-dimensional manifold and proves that these two kinds of(α,β)-metrics are of isotropic mean Berwald curvature if and only if they are of isotropic S-curvature,where α=aij(x)yiyj is a Riemannian metric and β=bi(x)yi is a 1-form and m is a real number with m≠1,0,-1/n.
研究了n-维流形上两类重要的(α,β)-度量——F=(α+β)m+1/αm和F=α+εβ+2β2/α-β4/(3α3),证明了这两类(α,β)-度量具有迷向S-曲率,当且仅当它们具有平均Berwald曲率,其中α=aij(x)yiyj是黎曼度量,β=bi(x)yi是非零1-形式,m为满足m≠-1,0,-1/n的非零实数。
This paper studies two kinds of important geometric quantities the mean Berwald curvature and the mean Landsberg curvature for Randers metrics, describes these important curvatures and gives a sufficient and necessary condition for Randers metric satisfying E=0 or J=0 respectively.
研究了Randers度量的两类重要的几何量———平均Berwald曲率和平均Landsberg曲率,描述了这两类重要的曲率,且分别给出了Randers度量满足E=0或J=0的充分必要条
Meanwhile, we show that the mean Berwald curvature S=0 implies that the Ricci curvature Ric is quadratic in projectively flat Finsler spaces.
同时还证明了,在射影平坦Finsler空间中,平均Berwald曲率S=0意味着Ricci曲率Ric是二次齐次的。
L~2 harmonic forms and stability of hypersurfaces with constant mean curvature;
L~2调和形式与具有常平均曲率的稳定超曲面
Stable and Complete Submanifolds with Constant Mean Curvature and Finite L~p-Norm Curvature in Space Forms;
空间形式中具有常平均曲率及有限L~p范数曲率的稳定完备子流形
Complete space-like hypersurfaces with constant mean curvature in locally symmetric Lorentz spaces
局部对称Lorentz空间中具有常平均曲率的完备类空超曲面
The Completely Equal Curvature of Tubular Surface on Viviani s Curve;
Viviani曲线上管状曲面的全平均曲率
The Complete Hypersurface with Constant Mean Curvature in the Quasi Constant Curvature Space
拟常曲率空间中具有常平均曲率的完备超曲面
Hypersurfaces with Constant Mean Curvature in a Riemann Manifold with Constant Curvature and with Quasi Constant Curvature;
常曲率和拟常曲率Riemann流形中的常平均曲率超曲面
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
Some Hypersurfaces in a Conformally Flat Lorentzian Manifold with Constant Mean Curvature
共形平坦Lorentz空间具常平均曲率的一类超曲面
Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci Curvature
Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面
Mean Curvature Flow with Bounded Gauss Image in De Sitter Space;
de Sitter空间具有有界Gauss像的平均曲率流
Eigenvalues of Laplacian Operator Under Mean Curvature Flow
平均曲率流下拉普拉斯算子的特征值
Weierstrass Representation for Surfaces of Prescribed Mean Curvature in the 3-Dimensional Heisenberg Group;
三维Heisenberg群中给定平均曲率曲面的Weierstrass表示
Hypersurfaces with Constant Mean Curvature in Locally Symmetric Space;
局部对称空间中具有常平均曲率的超曲面
A Bernstein Type Result for Constant Mean Curvature Hypersurfaces;
一个关于常平均曲率超曲面的Bernstein型结果
Compact Hyper-surface with Constant Mean Curvature in Locally Symmetric Manifold;
局部对称黎曼流形中的常平均曲率紧致超曲面
A Theorem for Hige Order Ccnformal Mean Curvature on Supresurface and Its Application;
关于超曲面高阶共形平均曲率的一个定理
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
Space-Like Hypersurfaces with Constant Mean Curvature in Static AdS Space-Times
静态AdS时空中的常平均曲率类空超曲面
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space;
局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in a Locally-Symmetric Space;
关于局部对称空间中常平均曲率超曲面的截面曲率的Pinching定理