holomorphic curvature;
Grassmann image of a complex surface;
complex index of nullity;
sectional curvature;
normal curvature;
normal connection;
flat metric;
D O I:
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摘要:
We show that if the holomorphic curvature of a complex Grassmann manifold in two-dimensional directions tangent to a nondegenerate Grassmann image of a nonsingular complex surface attains the maximal possible value along all directions, then the surface is a complex hypersurface.