球面中Ricci平行的超曲面  

On Hyper-curved-surfaces in Sphere with Parallel Ricci Curvature

作　　者：蔡开仁[1] 

机构地区：[1]杭州师范学院数学系，浙江杭州310036

出　　处：《绍兴文理学院学报（自然科学版）》2004年第7期31-33,共3页Journal of Shaoxing College of Arts and Sciences

摘　　要：证明了球面中的Clifford极小超曲面是球面中唯一的Ricci平行的极小超曲面．并在一定条件下给出了球面中Ricci平行的超曲面的局部常曲率流形的乘积结构．In the paper we prove that the Clifford minimal hyper-curved-surface of a sphere is the unique minimal hyper-curved-surface of a sphere with parallel Ricci curvature.We also set up a local product structure for the hyper-curved-surfaces in a sphere with the parallel Ricci curvature in which each factor has constant sectional curvature under a simple condition.

关 键 词：球面 Ricci平行 爱因斯坦流形 Clifford极小超曲面 乘积结构 

分 类 号：O186.16[理学—数学]