Abstract:
In this paper, we give a classification theorem of minimal two-spheres
in
$G(2,4;\mathbb{C})$
with parallel second fundamental form.
Moreover, we also consider some special holomorphic
two-spheres in
$G(2,n;\mathbb{C})$
and give the corresponding conditions of the parallel second fundamental form.
Keywords:conformal minimal immersion, complex Grassmann manifold, parallel second fundamental
form, classification.
