1) totally real minimal submanifold
全实极小子流形
1.
In this paper, we obtain a complete solution to a pinching problem for the ricci curva-ture of totally real minimal submanifolds in a locally symmetric Bochner-Kaehler manifold.
本文完全解决了局产对称Bochner-Kachler流形的全实极小子流形的李奇曲率的pinching问题。
2.
By employing the method of [1,5],we give some Laplacian eigenvalue inequalities for compact totally real minimal submanifolds in a complex projective space with the holomorphic first normal space.
及沈一兵的方法,给出了复射影空间中具有全纯第一法空间的紧致全实极小子流形的某些Laplacian特征值不等式,它们只与子流形的内蕴几何量有关。
2) minimal submanifolds
极小子流形
1.
On pinching problem of sectional curvature on minimal submanifolds in a symmetric space;
局部对称黎曼流形中极小子流形的截面曲率的pinching问题
2.
This note deals with the compact minimal submanifolds in a unit sphere, the Laplaciano f the square of the length of the second fundamental form is calculated and estimated.
研究单位球面中紧致极小子流形，计算和估计第二基本形式长度的平方的Ｌａｐｌａｃｉａｎ，引进一个矩阵不等式，运用散度定理得到了一个Ｓｉｍｏｎｓ型积分不等式。
3.
In this paper, a pinching theorem on the minimal submanifolds in a locally Symmetric Riemannian manifold is obtained, a known result is improved.
研究局部对称完备黎曼流形中的紧致极小子流形,得到了这类子流形的第二基本形式模长平方的一个拼挤定理,推广了[1]中的结论,改进了已有的结果。
3) minimal submanifold
极小子流形
1.
Compact minimal submanifolds in locally symmetric spaces;
局部对称空间中的紧致极小子流形
2.
On some global pinching theorems for minimal submanifolds of a locally symmetric space。;
关于局部对称空间中极小子流形的n个整体拼挤定理(英文)
3.
On inherent rigidity for minimal submanifolds in a sphere;
关于球面上极小子流形的内蕴刚性
4) 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。
5) Totally real submanifold
全实子流形
1.
In this thesis,we study several problems of Kaehler submanifolds and totally real submanifolds in a locally symmetric Bochner-Kaehler manifold.
在本文中,我们研究了局部对称Bochner-Kaehler流形中Kaehler子流形和全实子流形的若干问题。
6) minimal
[英]['mɪnɪməl] [美]['mɪnɪmḷ]
全实极小
1.
A remark on projectively flat totally realminimal submanifolds in CP~n;
关于复射影空间射影平坦、全实极小子流形的注记
补充资料：全测地流形
全测地流形
totally - geodesic manifold
全测地流形[tot叨y一ge映sicm田创ud;。。助。e reo八e-3“，ec肋e MH0r006p幻Ile]，全测地子流形(to七山y-罗团es ic subl几In面kl) Rle~空间(Ri~~nsPace)v“中的一个子流形M”，使得M”中的测地线(geodesic ljl犯)也是VN中的测地线.全测地子流形M’‘是用如下的特征来刻画的:对M”的每个法向量，其相应的第二基本形式(second fundametal form)为零;这等价于M”的所有法曲率为零.M.n.Bo如以oBcK浦撰【补注】一般Riem以11们流形中全测地子流形的存在是例外情形.反之，许多这种全测地子流形的存在在近期的各种研究中被用来刻画某些特殊流形，例如对称空问.见【Al}，
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条