Reducible Conformal Minimal Immersion with Constant Curvature from S2 to Q6
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 S2 to G(2,8;R) identified with the complex hyperquadric Q6. 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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