Abstract
In this paper, firstly we study the geometry of conformal minimal two-spheres immersed in the complex hyperquadric \(Q_{n-2}\). Then we classify the linearly full irreducible conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{n-2}\) (\(n\geqslant 7\)) of isotropy order \(r=n-6\) under some conditions, which shows that all such immersions can be expressed by Veronese surfaces in \(\mathbb {C}P^{n-1}\) only under some conditions.
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Acknowledgements
This work was partially supported by the National Natural Science Foundation of China (Grant No. 11871450), the Ph.D. Research Startup Foundation of Yunnan Normal University 2019XJLK16, Scientific Research Foundation Project of Yunnan Education Department (2020J0093) and Yunnan Fundamental Research Projects (LS21022).
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Communicated by Rahul Roy.
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Li, H., Jiao, X. On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics. Indian J Pure Appl Math 54, 980–995 (2023). https://doi.org/10.1007/s13226-022-00308-8
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DOI: https://doi.org/10.1007/s13226-022-00308-8