CP^n中具有循环调和序列的平坦极小环面  

Flat Minimal Torus with Cyclic Harmonic Sequence in CP^n

作　　者：黎镇琦[1] 黄探霄[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2010年第3期205-209,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10671087);江西省自然科学基金资助项目(2009GZS0017)

摘　　要：研究具有循环调和序列的平坦极小浸入ψ:T2→CPn。证明了存在T2的一个有限覆盖p:T2→T2和一个全迷向的平坦极小浸入φ:T2→CPn使得ψ。p=A。φ,其中A:CPn→CPn:[v]→[vA]是线性全纯同胚。The flat minimal torus with cyclic harmonic sequence in the complex projective space CPn is studied.It is proved that if the associated harmonic sequence of a minimal immersion CPn from a flat torus T2 into the complex projective space CPn is cyclic,then there is a finite covering p：T-2→T2 of the flat torus T2 and a totally isotropic minimal immersion φ：T-2→CPn such that ψ。p=A。φ,where A：CPn→CPn is a linearly holomorphic homeomorphism.

关 键 词：平坦环面 极小浸入 循环调和序列 

分 类 号：O186[理学—数学]