Totally real flat minimal surfaces in the hyperquadric

Ling He, Xiaoxiang Jiao and Mingyan Li

Mathematische Nachrichten, 2023, vol. 296, issue 8, 3354-3374

Abstract: In this paper, we study geometry of totally real minimal surfaces in the complex hyperquadric QN−2$Q_{N-2}$, and obtain some characterizations of the harmonic sequence generated by these minimal immersions. For totally real flat surfaces that are minimal immersed in both QN−2$Q_{N-2}$ and CPN−1$\mathbb {C}P^{N-1}$, we determine them for N=4,5,6$N=4, 5, 6$, and give a classification theorem when they are Clifford solutions.

Date: 2023
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https://doi.org/10.1002/mana.202100482

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:296:y:2023:i:8:p:3354-3374

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