S^3到CP^4中的等变弱Lagrangian极小浸入

NON-CONSTANT CURVATURE EQUIVARIANT WEAKLY LAGRANGIAN MINIMAL S^3 IN CP^4

研究3维球面S3到复射影空间CP4中的非常数截面曲率的等变弱Lagrangian极小浸入。

It is proved that an equivariant weakly lagrangian minimal 3-sphere S^3 with non-constant sectional cutvature immersed in the comples projective space CP^4 is contained in a totally geometricreal projective space RP^4 of CP^4 and is an isoparametric hypersurface of RP^4 with 3 distinct principle curvatures. The inverse image of S^3 under the Hopf fibration is the minimal isoparametric hypetsurface in S^3 with 3 distinct principle curvatures.