%A 胡泽君, 尹佳斌 %T EQUIVARIANT MINIMAL IMMERSIONS FROM S3 INTO CP3 %0 Journal Article %D 2019 %J 数学物理学报(英文版) %R 10.1007/s10473-019-0411-3 %P 1065-1080 %V 39 %N 4 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_15932.shtml} %8 2019-08-25 %X Associated with an immersion φ:S3 → CP3, we can define a canonical bundle endomorphism F:TS3TS3 by the pull back of the Kähler form of CP3. In this article, related to F we study equivariant minimal immersions from S3 into CP3 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:S3 → CP3 satisfying (▽XF)X=0 for all X ∈ ker (F), which is neither Lagrangian nor of CR type.