具有非负Ricci曲率的Khler流形上的Hartogs延拓定理

The Hartogs Extension Theorem on the Khler Manifold withNonnegative Ricci Curvature

利用微分几何的一些技巧,把Hartogs延拓定理推广到Ka¨hler流形上;于是得到:非负Ricci曲率的Ka¨hler流形上的任一全纯映射都满足Hartogs现象。

To improve the Hartogs extension theorem, we use some differential geometry technique, which we can generalize it to the Khler manifold; then we get the result that any holomorphical map on the Khler manifold with nonnegative Ricci curvature can satisfy the Hartogs phenomena.