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arXiv · 2309.03017

Reducible Conformal Minimal Immersion with Constant Curvature from S^2 to Q_6

Jiao Xiaoxiang·Li Mingyue
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Abstract

The geometry of conformal minimal two-spheres immersed in G(2,6;R) is studied in this paper by harmonic maps. Then in most cases, we determine the linearly full reducible conformal minimal immersions from S^2 to G(2,8;R) identified with the complex hyperquadric Q_6. We also give some examples, up to an isometry of G(2,8;R), in which none of the spheres are congruent, with the same Gaussian curvature.

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BibTeXRIS

Jiao Xiaoxiang, Li Mingyue. 2023-09-06. Reducible Conformal Minimal Immersion with Constant Curvature from S^2 to Q_6. https://arxiv.org/abs/2309.03017

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