Conformal minimal immersions with constant curvature from S2 to Q5
We study the geometry of conformal minimal two spheres immersed in G(2; 7; ℝ): Then we classify the linearly full irreducible conformal minimal immersions with constant curvature from S2 to G(2; 7; ℝ); or equivalently, a complex hyperquadric Q5 under some conditions. We also completely determine the Gaussian curvature of all linearly full totally unramified irreducible and all linearly full reducible conformal minimal immersions from S2 to G(2; 7; ℝ) with constant curvature. For reducible case, we give some examples, up to SO(7) equivalence, in which none of the spheres are congruent, with the same Gaussian curvature.
KeywordsConformal minimal surface isotropy order constant curvature linearly full
Unable to display preview. Download preview PDF.
This work was supported by the National Natural Science Foundation of China (Grant No. 11871450)