%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:TS3→TS3 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.