curvature vector meaning in English
曲率向量
Examples
- 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 - In the third second , we study a closed oriented submanifold with parallel mean curvature vector field in a sphere . let s = s - nh2 . we fist obtain a pinching theorem on 5
第三节中研究了欧氏球面中具有常平均曲率向量子流形,获得两个结果,其中一个结果推广了h - Some pinching theorems about totally real pseudo - umbilical submanifolds with parallel mean curvature vector becoming totally real and totally umbilical submanifolds are obtained by choosing a suitable frame ? eld
通过选取合适的活动标架,获得具有平行平均曲率向量的全实伪脐子流形成为全实全脐子流形的若干pinching定理 - Based on parameter - parameter surfaces intersection curve , the differential geometric properties of implicit - implicit ones are in detail in the paper . these properties include tangents , curvature vector and higher - order derivative vector in cases of transversal intersection and tangent intersection
本文在参?参曲面交线基础上,详细推导了隐?隐形式两曲面空间交线的微分几何性质,这些性质包括截交及切交下的切矢,曲率矢以及高阶导矢等。 - This paper contains three chapters . we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p . in particular , a sufficient condition for mn with constant scalar curvature to be totally umbilical is given
讨论desitter空间s _ p ~ ( n + p )中具有平行的单位平均曲率向量的紧致类空子流形m ~ n的第二基本形式长度拼挤问题,给出了具有常数量曲率的这种子流形是全脐球面的一个充分条件。