A rigidity theorem for submanifolds in S^n＋p with constant scalar curvature

• 作 者: 张剑锋
• 机 构: DepartmentofMathematics
• 出 处: 浙江大学学报：A卷英文版
• 发表日期: 2005年4期
• 关键词: 子簇 代数几何 弯曲率 刚性法则 Scalar curvature Mean curvature vector The second fundamental
• 基金项目: the Stress Supporting Subject Foundation of Zhejiang Province, China

Let Mn be a closed submanifold isometrically immersed in a unit sphere Sn+p. Denote by R, H and S, the normalized scalar curvature, the mean curvature, and the square of the length of the second fundamental form of Mn, respectively. Suppose R is constant