1) totally geodesic submanifold
全测地子流形
1.
Sufficient conditions for totally geodesic submanifolds of constantly curved spaces;
常曲率空间中全测地子流形的充分条件
2.
Let M n beann dimensional compact minimal submanfold in s n+p (C) with constant curvature c Let K and Q be the infimum of the sectional curvature and Ricci curvature of M n respectively Let R be the scalar curvature of M n and σ be the square of the length of the second fundamental form of M n In this paper, we obtained several sufficient conditions of M n be the totally geodesic submanifol
本文利用Mn 的内在量K ,Q和R ,σ ,给出了球空间Sn + p(C)中紧致极小子流形是全测地子流形的几个充分条件。
2) Total geodesic riemannia submanifold
全测地的黎曼子流形
3) geodesic submanifold
测地子流形
1.
The focal points of geodesic submanifold in a complete Riemann manifold;
完备Riemann流形中的测地子流形的焦点
4) mixed totally geodesic CR-submanifold
混合全测的CR子流形
5) totally umbilical submanifolds
全脐子流形
1.
In this paper, some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained.
获得了复射影空间中全实全脐子流形的若干性质,并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的。
2.
Some pinching theorems about totally real pseudo-umbilical submanifolds with parallel mean curvature vector becoming totallyreal and totally umbilical submanifolds are obtained by choosing a suitableframe ?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。
6) Totally real submanifolds
全实子流形
1.
We deduce the Riemannian metric on complex projective space from Riemannian submersion π:S2n+1→CPn,get its volume element We also prove that one type totally real submanifolds of CPn is none but ndimensional sphere Sn.
用黎曼淹没π：Ｓ２ｎ＋１→ＣＰｎ诱导出ＣＰｎ上的黎曼度量及其在不同坐标系下的表达形式；算出其体积元，并得到ＣＰｎ上一类ｎ维全实子流形与ｎ维球面Ｓｎ等
2.
This dissertatian is mainly concernd with several problems of Kaehler submanifolds and totally real submanifolds in complex projective space.
本文分两章研究了复射影空间CP~(n+p)中Kaehler子流形和全实子流形的若干问题。
补充资料：测地流形
测地流形
geodesic manifold
测地流形〔g印此血..口“d目;reo月e3。，ee姗M.oro诵-脾3.el，点x处的 光滑(Ri日比以rm或具有仿射联络的)流形M”的子流形M“，使得M”中在x处与M“相切的测地线(罗阅璐iclirle)与矿至少有二阶接触.如果砂中每条测地线也是M”中的测地线，则上述要求对材‘的每点均成立.这样的测地流形M“称为全测地流形(加目y罗〕d留ic manifolds).刃.A.B~。撰【补注】亦分别被称为掣粤子琢形(罗阅‘c sul拍迢ni-fold)及伞铡粤子李形(to阎ly罗ed岛ic sul扣叼‘fokl).
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参考词条