Abstract
Geometry of conformal minimal two-spheres immersed in \(G(2,6;\mathbb {R})\) is studied in this paper by harmonic maps. We construct a nonhomogeneous constant curved minimal two-sphere in \(G(2,6;\mathbb {R})\), by establishing a classification theorem of linearly full conformal minimal immersions of constant curvature from \(S^2\) to \(G(2,6;\mathbb {R})\) identified with the complex hyperquadric \(Q_{4}\), which illustrates minimal two-spheres of constant curvature in \(Q_{4}\) are in general not congruent.
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The authors would like to express gratitude for the referee’s valuable comments.
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Project supported by the NSFC (Grant Nos. 11871450, 11901534)
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Jiao, X., Li, M. & Li, H. Rigidity of Conformal Minimal Immersions of Constant Curvature from \(S^2\) to \(Q_4\). J Geom Anal 31, 2212–2237 (2021). https://doi.org/10.1007/s12220-019-00337-6
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DOI: https://doi.org/10.1007/s12220-019-00337-6