Embedded rotational hypersurfaces with constant scalar curvature in Sn:: a correction to a statement in M. L.!Leite, Manuscripta Math.: 67 (1990), 285-304

被引:1
作者
Li, Haizhong [1 ]
Wei, Guoxin [1 ]
机构
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
关键词
Primary 53C42; Secondary 53C20;
D O I
10.1007/s00229-006-0016-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that there exist (n - 1)-dimensional compact embedded rotational hypersurfaces with constant scalar curvature (n - 1)(n - 2)S (S > 1) of S-n other than product of spheres for 4 <= n <= 6. As a result, we prove that Leite's Assertion was incorrect.
引用
收藏
页码:319 / 323
页数:5
相关论文
共 2 条
[1]   ROTATIONAL HYPERSURFACES OF SPACE-FORMS WITH CONSTANT SCALAR CURVATURE [J].
LEITE, ML .
MANUSCRIPTA MATHEMATICA, 1990, 67 (03) :285-304
[2]  
LI H, 2006, B BRAZ MATH SOC, V37