面积为2π［m（m＋1）＋2］的广义极小浸入球面  

GENERALIZED MINIMAL IMMERSIONS 0F A; SPHERE WITH AREA 2π m(m+1)+2

作　　者：李兴校[1] 

机构地区：[1]河南师范大学

出　　处：《数学杂志》1995年第2期151-158,共8页Journal of Mathematics

摘　　要：本文主要利用Ｐｌｃｋｅｒ公式，通过若干引理和命题，证明了全体具有面积为Ａ（ｘ）＝２π［ｍ（ｍ＋１）＋２］的广义极小满浸入ｘ：Ｓ￣２→Ｓ￣（２ｍ）构成的等价类空间微分同胚于齐性空间Ｇ＝ＳＯ（２ｍ＋１，Ｃ）／ＳＯ（２ｍ＋１，Ｒ）．ln this paper, using Plucker’s formula,we proved some lemmas and propo- sitions,by which,we finally obtained the following main result:Let M be the space of all equivalence classes of generalized minimal immersions x: S￣2→S￣2m,which are linearly full and of area 2π[m(m+1)+2]. Then,with respect to its natural differential structure,M is diffeomorphic tothe homogeneous space G=SO(2m+1,C)/SO(2m+1,R).

关 键 词：广义极小浸入 全纯曲线 微分同胚 齐性空间 球面 

分 类 号：O186.1[理学—数学]