摘要
研究了常平均曲率的曲面 ,在某些挤压条件下的结果是 :ⅰ )如果M是拓扑二维球面 ,则或者M是平坦的完全脐曲面 ,或者M是极小曲面 ;ⅱ )如果M是K hler曲面的完全实极小曲面 ,则或者M是RP2 进CP2 的标准嵌入 。
In this paper ,for surfaces with constant mean curvature,we studied their global properties.When they satisfy some pinching conditions,results are that: ⅰ) If M be a topological two sphere,then either M is flat,totally umbilic or M is a minimal surface.ⅱ) If M be a totally real minimal surface of a khler suface,then either M is the standard embedding of RP 2 into CP 2 or M is totally geodesic or flat.
