On almost complex curves and Hopf hypersurfaces in the nearly Kahler six-sphere  

作　　者：HE Ling JIAO XiaoXiang ZHOU XianChao 

机构地区：[1]School of Mathematical Sciences,University of Chinese Academy of Sciences [2]School of Mathematical Sciences,Fudan University

出　　处：《Science China Mathematics》2014年第5期1045-1056,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11071248)

摘　　要：We study the almost complex curves and Hopf hypersurfaces in the nearly Khler S6(1),and their relations.For Hopf hypersurfaces,we give a classification theorem under some additional conditions.For compact almost complex curves,we obtain some interesting global results with respect to Gaussian curvature,area and the genus.We study the almost complex curves and Hopf hypersurfaces in the nearly Khler S6（1）,and their relations. For Hopf hypersurfaces,we give a classification theorem under some additional conditions. For compact almost complex curves,we obtain some interesting global results with respect to Gaussian curvature,area and the genus.

关 键 词：nearly Kahler structure Hopf hypersurface tubular hypersurface almost complex curve 

分 类 号：O186.1[理学—数学]