On almost complex curves in the nearly Kaehler six-sphere

详细信息	查看全文 | 推荐本文 |

• 作者：Xianchao Zhou ; ^{zhouxianch09@gmail.com} ; Xiaoxiang Jiao ^{xxj@gucas.ac.cn}
• 关键词：53C20 ; 53C42
• 刊名：Differential Geometry and its Applications
• 出版年：2012
• 期刊代码：18_09262245
• 类别：mt
• 出版时间：April, 2012
• 卷：30
• 期：2
• 页码：148-152
• 文件大小：144 K

摘要

In this paper, we study the curvature properties of almost complex curves m>Mm> in the nearly Kaehler six-sphere by using the harmonic sequences theory. For compact almost complex curve of type (I), if the Gaussian curvature , then . A basic valued distribution theorem of Gaussian curvature for almost complex curve of type (II) is given. For almost complex curve of type (III), we show that if m>Mm> is complete and Gaussian curvature , then ; and if m>Mm> is compact and , then .