Classification of hypersurfaces with constant Laguerre eigenvalues in R~n

• 作 者: LI TongZhu LI HaiZhong WANG Ch
• 机 构: DepartmentofMathematics,DepartmentofMathematicalSciences,SchoolofMathematicalSciences
• 出 处: 中国科学：数学英文版
• 发表日期: 2011年6期
• 关键词: 特征值 超曲面 分类 第二基本形式 自由曲面 主曲率 变换群 不变量 Laguerre transformation group Laguerre tensor
• 基金项目: Acknowledgements This work was supported by National Natural Science Foundation of China （Grant Nos. 10801006, 10971110, 10771005）. The authors would like to express their thanks to the referees for t

Let x:M → Rn be an umbilical free hypersurface with non-zero principal curvatures.Then x is associated with a Laguerre metric g,a Laguerre tensor L,a Laguerre form C,and a Laguerre second fundamental form B,which are invariants of x under Laguerre transfo