【摘要】 设(Nn+1,g)是n+1维单连通完备的黎曼流形,其黎曼曲率张量取如下形式KABCD=a(gACgBD-gADgBC)+b(gACλBλD+gBDλAλC-gADλBλC-gBCλAλD),　∑gABλAλB=1,称Nn+1为拟常曲率空间.本文讨论了这类空间中具有常平均曲率的紧致超曲面,给出了关于其第二基本形式模长平方S的积分不等式.更多还原

【Abstract】 Let Mⁿ be an compact hypersurfaces with constant mean curvature immersed in an （n+1）-dimensional Riemannian manifolds Nⁿ⁺¹ of quasi constant curvature. In this paper, we obtain a integral inequality for the length square of the second fundamental form of Mⁿ.更多还原