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.
Zejun HU
,
Jiabin YIN
. EQUIVARIANT MINIMAL IMMERSIONS FROM S3 INTO CP3[J]. Acta mathematica scientia, Series B, 2019
, 39(4)
: 1065
-1080
.
DOI: 10.1007/s10473-019-0411-3
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