Abstract
The equivariant CR minimal immersions from the round 3-sphere \(S^3\) into the complex projective space \(\mathbb CP^n\) have been classified by the third author explicitly (Li in J Lond Math Soc 68:223–240, 2003). In this paper, by employing the equivariant condition which implies that the induced metric is left-invariant and that all geometric properties of \(S^3=\mathrm{SU}(2)\) endowed with a left-invariant metric can be expressed in terms of the structure constants of the Lie algebra \(\mathfrak {su}(2)\), we establish an extended classification theorem for equivariant CR minimal immersions from the 3-sphere \(S^3\) into \(\mathbb CP^n\) without the assumption of constant sectional curvatures.
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The authors are greatly indebted to the referee for his/her very helpful suggestions and valuable comments.
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The first two authors were supported by Grants of NSFC-11371330 and 11771404, and the third author was supported by Grant of NSFC-11361041.
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Hu, Z., Yin, J. & Li, Z. Equivariant CR minimal immersions from \(S^3\) into \(\mathbb CP^n\). Ann Glob Anal Geom 54, 1–24 (2018). https://doi.org/10.1007/s10455-017-9590-0
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DOI: https://doi.org/10.1007/s10455-017-9590-0