Lorentz空间中具有平行Ricci曲率的2-调和类空超曲面研究

Study on 2-harmonic Space-like Hypersurfaces with Parallel Ricci Curvature in Lorentz Space

本文主要讨论Lorentz空间中具有平行Ricci曲率的2-调和类空超曲面,其截面曲率Kn满足0<a≤Kn≤b<1,通过求出这类超曲面关于其第二基本形式模长的平方S的拉普拉斯算子(Laplacian),得到了Mn的一个Simons型积分不等式。

This paper mainly discusses 2-harmonic space-like hypersurfaces with parallel Ricci curvature in Lorentz space. Cross section curvature K n meets 0<a≤K n≤b<1 , by finding the second fundamental form modulus of such hypersurfaces S Square of Laplacian, a Simons integral inequality for M n is obtained.