2-Harmonic Totally Real Submanifolds in a Complex Projective Space

In this paper, we discuss the relations between the 2-harmornic totally real submsnifold and the minimal totall real submanifold in the complex protective spsace, and obtain the pinching conductions for the second fundamental form and the Rieci curature of the 2-harmornic totally real submanifold in the complex projective space.

2-harmonic Submanifotds-in a Quasi Constant Holomorphic Sectional Curvature Space

In the present paper, the authors study totally real 2-harmonic submanifolds in a quasi constant holomorphic sectional curvature space and obtain a Simons＇ type inte- gral inequality of compact submanifoids as well as some pinching theorems on＇the second fundamental form.

关于拟常曲率空间中2-调和子流形

该文研究拟常曲率空间中的紧致2-调和子流形,得到了这类子流形成为极小子流形的关于第二基本形式模长的Pinching定理及推广的J．Simons型积分不等式:

关于局部对称空间中2-调和子流形

本文研究局部对称完备黎曼流形中的紧致 2 调和子流形 ,得到了这类子流形第二基本形式模长平方的Pinching定理及推广的J .

关于近拟常曲率空间中2-调和子流形

(N^(n+p),g)是n+p维单连通完备的黎曼流形,其黎曼曲率张量取如下形式K_(ABCD)=a(g_(AC)g_(BD)-g_(AD)g_(BC))+b(g_(AC)f_(BD)+g_(BD)f_(AC)-g_(AD)f_(BC)-g_(BC)f_(AD)),∑g^(AC)g^(BD)f_(AB)f_(CD)=1称n+p为近拟常曲率空间,本文利用活动标架法,研究此空间中的紧致2-调和子流形,得到了这类子流形关于其第二基本形式模长的Pinching定理及推广的J.Simons型积分不等式。

2-Harmonic Submanifolds in a Complex Space Form

In the present paper,the authors study totally real 2-harmonic submanifolds in a complex space form and obtain a Simons' type integral inequality of compact submanifolds as well as some relevant conclusions.

拟常曲率空间中的2-调和子流形为极小子流形的条件

研究了拟常曲率空间中的2-调和子流形与极小子流形.首先得到了拟常曲率空间中具有平行平均曲率的2-调和子流形为极小子流形的一个较好的充分条件,然后得到了2-调和超曲面与极小超曲面在一定条件下是等价的结论.