Reducible Conformal Minimal Immersions with Constant Curvature from S^(2)to Q_(6)  

作　　者：Xiaoxiang JIAO Mingyue LI 

机构地区：[1]School of Mathematical Science,University of Chinese Academy of Sciences,Beijing 100049,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第6期807-824,共18页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12371055)。

摘　　要：Using the harmonic map theory,we study the geometry of conformal minimal twospheres immersed in Q_(6),or a real Grassmannian manifold G(2,8;R)equivalently.Then we classify the linearly full reducible conformal minimal immersions with constant Gaussian curvature from S^(2)to Q_(6)under some conditions.We also construct specific examples of non-congruent two-spheres with the same Gaussian curvature,up to SO(8)-equivalence,for each case.

关 键 词：conformal minimal immersion constant curvature isotropy order second fundamental form 

分 类 号：O186.1[理学—数学]