Author(s): LI Xiaohuan1, GUO Ruizhi2(1.zhuzhouprofessionaltechnologycollege, ZHUZHOU 412001china, 2. Departmentofmathematics, HUNAN Normaluniversityhunanchangsha410081, china)
Pages: 19-22
Year: 2009 Issue:  3
Journal: Journal of Yueyang Normal University
Keyword:  共形平坦的黎曼流形;  Ricci曲率;  Weyl张量;
Abstract: 研究了共形平坦的黎曼流形(Mn,g)(n≥4),建立了一个关于紧致流形的Simons型的积分不等式.如果(Mn,g)是共形平坦的,且它的Ricci曲率满足一定的条件,利用该积分不等式给出(Mn,g)的在等距群下的分类.