胡泽军：EQUIVARIANT MINIMAL IMMERSIONS FROM S~3 INTO ■论文

本文主要研究内容

作者胡泽军,尹佳斌（2019）在《EQUIVARIANT MINIMAL IMMERSIONS FROM S~3 INTO ■》一文中研究指出：Associated with an immersion φ : S~3→■, we can define a canonical bundle endomorphism F : TS~3→ TS~3 by the pull back of the K?hler form of ■. In this article,related to F we study equivariant minimal immersions from S~3 into ■ under the additional condition(?_XF)X = 0 for all X ∈ ker(F). As main result, we give a complete classification of such kinds of immersions. Moreover, we also construct a typical example of equivariant non-minimal immersion φ : S~3→■ satisfying(?_XF)X = 0 for all X ∈ ker(F), which is neither Lagrangian nor of CR type.

Abstract

Associated with an immersion φ : S~3→■, we can define a canonical bundle endomorphism F : TS~3→ TS~3 by the pull back of the K?hler form of ■. In this article,related to F we study equivariant minimal immersions from S~3 into ■ under the additional condition(?_XF)X = 0 for all X ∈ ker(F). As main result, we give a complete classification of such kinds of immersions. Moreover, we also construct a typical example of equivariant non-minimal immersion φ : S~3→■ satisfying(?_XF)X = 0 for all X ∈ ker(F), which is neither Lagrangian nor of CR type.

论文参考文献

论文详细介绍

论文作者分别是来自Acta Mathematica Scientia的胡泽军,尹佳斌，发表于刊物Acta Mathematica Scientia2019年04期论文，是一篇关于,Acta Mathematica Scientia2019年04期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Acta Mathematica Scientia2019年04期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。

标签：Acta Mathematica Scientia2019年04期论文;