节点文献
S~3到CP~3中的等变极小浸入
Equivariant Minimal Immersion from S~3 into CP~3
【摘要】 研究常曲率的3维球面S3=SU(2)到复射影空间CP3中的等变极小浸入,证明了这种浸入不存在介于CR和Lagrangian之间的浸入,只能是Lagrangian浸入,从而是全测地的。
【Abstract】 The equivariant minimal immersion from the Euclidean sphere s3=SU(2) with constant curvature c into the complex projective space sp3 is studied.It is proved that there is no immersion between CR and Lagrangian immersion,the immersion has to be Lagrangian and hence is totally geodesic.
【关键词】 复射影空间;
等变;
Lagrangian子流形;
极小浸入;
【Key words】 complex projective space; equivariant; Lagrangian submanifold; minimal immersion;
【Key words】 complex projective space; equivariant; Lagrangian submanifold; minimal immersion;
【基金】 国家自然科学基金资助项目(10261006);教育部全国优秀博士论文作者专项资金资助项目(200217);江西省自然科学基金资助项目(0611080)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2007年03期
- 【分类号】O186.12
- 【被引频次】3
- 【下载频次】46