C^(3)中曲面Kahler角的刚性定理（英文）

Some rigidity theorems of the Kahler angle of surfaces in C^(3)

浸入到近复Hermit流形的曲面的Khler角是一个重要的不变量,可以用于刻画曲面偏离拟全纯曲线的程度.近年来,具有常Khler角的曲面仍是很有意义的研究对象.对于3维复欧氏空间C^3中具有常Khler角的曲面收缩子,本文证明了两个刚性定理.这些定理是有关C^3中曲面自收缩子的相应定理的直接拓展.

The Kahler angle of a surface immersed in an almost Hermitian manifold is an important invar-iant which can be used to measure the deviation of the surface from being a complex （or pseudo-holomor- phic）one and, in particular, the surface with a constant K/ihler angle has been an interesting object in the study of submanifolds for years. In this paper, we prove two rigidity theorems for complete self- shrinkers of mean curvature flow with constant Kahler angle, which are immersed in the complex Eu- clidean space C3 of dimension 3. These are direct extensions of some known theorems for self-shrinkers immersed in C2