1) 2-harmonic submanifold
2-调和子流形
1.
A note on the 2-harmonic submanifolds of quasi constant curvature spaces;
拟常曲率空间中2-调和子流形的一个注记
2.
On 2-harmonic submanifolds in Riemannian manifolds.;
关于黎曼流形中的2-调和子流形
2) biharmonic sub-manifold
2调和子流形
3) Total real 2-harmonic submanifolds
全实2-调和子流形
5) L~2 harmonic 1-forms
L~2调和1-形式
1.
In this thesis, we mainly study problems on global geometry and geometricanalysis of Riemannian submanifolds, including vanishing theorem for homologygroups, topological sphere theorem, L~2 harmonic 1-forms, finiteness of end andthe spectrum of the Laplacian.
本文着重研究黎曼子流形上整体几何与几何分析的若干问题，主要内容包括子流形的同调群消没定理、拓扑球面定理、L~2调和1-形式、端的有限性和Laplace算子谱等问题。
6) 2-harmonic
2-调和
1.
In this paper,we study 2-harmonic spacelike hypersurfaces in a locally symmetric and conformally flat lorentz manifold and obtain a pinching theorem of the class of hypersurfaces to the ambient manifold.
研究局部对称共形平坦洛伦兹流形中的2-调和类空超曲面,得到它对外围空间的一个拼挤定理。
2.
In this paper, we discuss the 2-harmonic spacelike submanifolds in a locally symmetric and conformally flat pseudo-riemannian manifold and get two sufficient conditions under which Mn turns into a maximal submanifold,and the results in [2] are improved.
讨论局部对称共形平坦伪黎曼流形的2-调和类空子流形,得到这类子流形成为极大的二个充分条件,推广了文[2]中的结论。
3.
In this paper,we study the realations between real 2-harmonic pseudo umbilical submanifolds in complex projective space and minimal subminifolds.
本文主要探讨了复射影空间CPn中实2-调和伪脐子流形与极小流形及全测地子流形之间的关系,给出该类子流形一些Pinching结果。
补充资料：子流形
见微分流形。
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