Associated with an immersion φ: S3→CP3, we can define a canonical bundle endomorphism F : TS3→TS3 by the pull back of the Kahler form of CP3. In this article, related to F we study equivariant minimal immersions fr...Associated with an immersion φ: S3→CP3, we can define a canonical bundle endomorphism F : TS3→TS3 by the pull back of the Kahler 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-miniinal immersion cp : S3→CP3 satisfying (▽xF)X = 0 for all X ∈ker (F), which is neither Lagrangian nor of CR type.展开更多
文摘Associated with an immersion φ: S3→CP3, we can define a canonical bundle endomorphism F : TS3→TS3 by the pull back of the Kahler 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-miniinal immersion cp : S3→CP3 satisfying (▽xF)X = 0 for all X ∈ker (F), which is neither Lagrangian nor of CR type.
