On complex submanifolds whose Grassmann image has maximal holomorphic curvature

被引：0

作者：

O. V. Leibina

机构：

[1] Kharkov Karazin National University,

来源：

Mathematical Notes | 2007年 / 81卷

关键词：

holomorphic curvature; Grassmann image of a complex surface; complex index of nullity; sectional curvature; normal curvature; normal connection; flat metric;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：496 / 502

页数：6

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