S^3到CP^4中的常曲率等变极小浸入

CONSTANT CURVATURE EQUIVARIANT MINIMAL IMMERSION FROM S^3 INTO CP^4

研究常曲率的3维球面S3到复射影空间CP4中的等变极小浸入,研究结果表明这种浸入只能是弱Lagrangian浸入,从而是全测地的。

The equivariant minimal immersion from the Euclidean sphere S3 with constant curvature c into the complex projective space CP4 is studied. It is proved that the immersion has to be Weakly Lagrangian respectively, hence are totally geodesic.