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On Conformal Minimal Immersions of Two-Spheres in a Complex Hyperquadric with Parallel Second Fundamental Form

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Abstract

In this paper we determine all conformal minimal immersions of two-spheres in complex hyperquadric \(Q_n\) with parallel second fundamental form.

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Acknowledgments

Project supported by the NSFC (Grant No. 11331002).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 101408, China

    Xiaoxiang Jiao & Mingyan Li

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  1. Xiaoxiang Jiao
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  2. Mingyan Li
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Correspondence to Mingyan Li.

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Jiao, X., Li, M. On Conformal Minimal Immersions of Two-Spheres in a Complex Hyperquadric with Parallel Second Fundamental Form. J Geom Anal 26, 185–205 (2016). https://doi.org/10.1007/s12220-014-9544-8

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  • DOI: https://doi.org/10.1007/s12220-014-9544-8

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