4-dimensional minimal CR submanifolds of the sphere S~6 satisfying Chen's equality

Miroslava Antic; Mirjana Djoric; Luc Vrancken

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4-dimensional minimal CR submanifolds of the sphere S~6 satisfying Chen's equality

机译：S〜6球的4维最小CR子流形满足Chen的等式

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摘要

In this paper, we classify 4-dimensional minimal CR submanifolds M of the nearly K?hler 6-sphere S6(1) which satisfy Chen's equality, i.e. , where δM(p)=τ(p)?infK(p) for every pM.

机译：在本文中，我们对满足Chen等式的近K？hler 6球面S6（1）的4维最小CR子流形M进行分类，其中，δM（p）=τ（p）？infK（p）下午。

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《Differential geometry and its applications》 |2007年第3期|共9页
作者
Miroslava Antic; Mirjana Djoric; Luc Vrancken;
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正文语种 eng
中图分类微分几何;
关键词
CR submanifold; Minimal submanifold; Nearly Kohler six-sphere; Chen's equality;

机译：CR子流形;最小子流形;近科勒六球体;陈氏等式;

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1. 4-dimensional minimal CR submanifolds of the sphere S~6 satisfying Chen's equality [J] . Miroslava Antic, Mirjana Djoric, Luc Vrancken Differential geometry and its applications . 2007,第3期

机译：S〜6球的4维最小CR子流形满足Chen的等式
2. 4-dimensional minimal CR submanifolds of the sphere S6 contained in a totally geodesic sphere S5 [J] . Miroslava Antic Journal of geometry and physics . 2010,第1期

机译：完全测地球S5中包含的球S6的4维最小CR子流形
3. Weyl semisymmetric submanifolds satisfying Chen's equality [J] . Pradip Majhi Afrika matematika . 2015,第3a4期

机译：满足Chen相等性的Weyl半对称子流形
4. B. Y. Chen Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds [C] . Mohd. Aquib, Michel Nguiffo Boyom, Ali H. Alkhaldi, International conference on geometric science of information . 2019

机译：Sasakian统计流形中统计子流形的B. Y. Chen不等式
5. Timelike minimal submanifolds in Robertson-Walker spacetimes. [D] . Allen, Paul T. 2007

机译：Robertson-Walker时空中的时间最小子流形。
6. ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS [O] . Wu-Yi Hsiang 1966

机译：关于紧凑齐次最小子流形
7. 4-dimensional minimal CR submanifolds of the sphere S6 satisfying Chen's equality [O] . Antić Miroslava, Djorić Mirjana, Vrancken Luc 2007

机译：满足Chen相等性的S6球面的4维最小CR子流形

4-dimensional minimal CR submanifolds of the sphere S~6 satisfying Chen's equality

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