Classification of conformal minimal immersions of constant curvature from S~2 to Q_3

摘要

In this paper, we study geometry of conformal minimal two-spheres immersed in complex hyperquadric Q_3. We firstly use Bahy-El-Dien and Wood's results to obtain some characterizations of the harmonic sequences generated by conformal minimal immersions from S~2 to G(2,5;R). Then we give a classification theorem of linearly full totally unramified conformal minimal immersions of constant curvature from S~2 to G(2,5;R), or equivalently, a complex hyperquadric Q_3.