%0 Journal Article
%T 局部对称空间中线性Weingarten超曲面<br>Linear Weingarten hypersurfaces in locally symmetric manifolds
%A 张亚娟 刘建成
%J 华南师范大学学报（自然科学版）
%D 2016
%X 研究了局部对称空间中具有有界平均曲率的线性 Weingarten 超曲面 M^{n}. 通过对 M^{n} 上的对称张量 Φ 的模长进行适当限制, 得到了该类超曲面要么是 全脐的, 要么等距于一个具有两个主曲率的超曲面, 且其中一个主曲率的重数为 1.<br>： The complete linear Weingarten hypersurfaces with bounded mean curvature in locally symmetric manifold are studied. By supposing a suitable restriction on the norm of Φ which is symmetric tensor in M^{n}, it is proved that such a hypersurface must be either totally umbilical or isometric to the hypersurface with two distinct principle curvatures, one of which is simple
%U http://journal.scnu.edu.cn:8080/jwk_xbzrb/CN/abstract/abstract3810.shtml