关于复射影空间中的Kaehler子流形

On Kaehler Submanifolds in the Complex Projective Space

本文给出了ＣＰ４（１）中紧可定向、共形平坦、具非负欧拉示性数的Ｋａｅｈｌｅｒ曲面数量曲率的一个估计。

In this note, we give an estimate on scalar curvature of compact orientable and conformally flat Kaehler surface with non-negative Euler characteristic number. We also obtain a sufficient condition to assure that a Kaehler submanifold MnCPn+P with isotopic second fundamental form is totally geodesic.