拟常曲率黎曼流形中极小子流形的Pinching定理  

The Pinching Theorem on Minimal Submanifolds in Riemannian Manifold of Quasi-constant Curvature

作　　者：李明图[1] 裴瑞昌[1] LI Mingtu;PEI Ruichang(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741000,Gansu,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741000

出　　处：《咸阳师范学院学报》2023年第6期13-16,共4页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(11661070)。

摘　　要：讨论了局部对称拟常曲率黎曼流形N^(n+p)中的紧致极小子流形M^(n),在ξ∈Γ(TM)时,得到了第二基本形式模长平方的Pinching常数,推广了定理A。In this paper,let N^(n+p) be a(n+p)-dimensional locally symmetric Riemannian manifold of quasi-constant curvature,and M^(n) is an n-dimensional minimally compact submanifold of N^(n+p).Whenξis tangent to M n,we obtain the pinching constant to the square of the length of the second fundamental form,which is an extension of Theorem A.

关 键 词：拟常曲率 局部对称 紧致 极小 

分 类 号：O186.1[理学—数学]