拟常曲率黎曼流形中卷积子流形的一些不等式  

Inequalities of warped product submanifolds in a Riemannian manifold of quasi-constant curvature

作　　者：王佳慧 程丽鹃 朱业成 Jiahui Wang;Lijuan Cheng;Yecheng Zhu(School of Mathematics and Physics,Anhui University of Technology,Maanshan 243002,China)

机构地区：[1]安徽工业大学数理科学与工程学院,安徽马鞍山243002

出　　处：《中国科学技术大学学报》2022年第3期44-51,70,共9页JUSTC

基　　金：supported by the National Natural Science Foundation of China(12026262).

摘　　要：用最优化方法,研究了拟常曲率黎曼流形中的卷积子流形,讨论了广义标准δ-Casorati曲率,建立了内在不变量和外在不变量之间的两个不等式,推广了实空间形式中子流形的最优不等式。By optimization methods on Riemannian submanifolds,we establish two inequalities between the intrinsic and extrinsic invariants,for generalized normalizedδ-Casorati curvatures of warped product submanifolds in a Riemannian manifold of quasi-constant curvature.We generalize the conclusions of the optimal inequalities of submanifolds in real space forms.

关 键 词：Casorati曲率 最优化方法 数量曲率 

分 类 号：O186.1[理学—数学]