球空间中具有拟平行第二基本形式的超曲面
Hypersurfaces with Quasi-Parallel SecondBasic Form in Spherical Space
DOI: 10.12677/PM.2023.134112, PDF, HTML, 下载: 148  浏览: 1,526 
作者: 苏 峰：云南师范大学数学学院，云南 昆明
关键词: 几何；超曲面；拟平行；第二基本形式；MO¨bius形式；MO¨bius Geometry； Hypersurface； Quasi-Parallel； MO¨bius Second Fundamental Form； MO¨bius Form
摘要: 设x : Mn→ Sn+1为黎曼流形到单位球空间中等距浸入, g和B分别为x的莫比乌斯度量和莫比乌斯第二基本形式, R 为g诱导的曲率张量. 本文研究满足条件RB = 0的超曲面, 获得了几个初步的结果.
Abstract: Let x : Mn→ Sn+1 be isometri immersion of Riemannian manifold into unit sphere space, and g and B be Mobius metric and Mobius second fundamental form of x respectively R is a curvature tensor induced by g. In this paper, we study the hypersurface operator satisfying the condition RB = 0, and obtain some preliminary results.
文章引用：苏峰. 球空间中具有拟平行第二基本形式的超曲面[J]. 理论数学, 2023, 13(4): 1062-1072. https://doi.org/10.12677/PM.2023.134112

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