| SUBMANIFOLDS IN S~(n+p) WITH PARALLEL MBIUS FORM |
| |
| 作者姓名： | Xia QiaolingDept.of Math. Zhejiang Univ. Hangzhou China. |
| |
| 作者单位： | Xia QiaolingDept.of Math.，Zhejiang Univ.，Hangzhou 310027，China. |
| |
| 基金项目： | the National Natural Science Foundation of China ( 1 0 2 71 1 0 6) ,the Natural ScienceFoundation of Zhejiang Province ( M1 0 30 4 7) and the Education Department of Zhejiang Province( 2 0 0 30 342 ) |
| |
| 摘 要： | § 1 IntroductionLet x:M→ Sn+p be an n-dimensional submanifold in the unit sphere without umbilicpoints.Let { ei} be a local orthonormal basis with respectto the firstfundamental form I=dx·dx with dual basis{ θi} .Let II =∑ijαhαijθiθjeαbe the second fundamental form of xand H =∑αHαeαbe the mean curvature vector of x,where we use the range of indices:1≤ i,j,k,l≤ n, n + 1≤α,β,γ≤ n + p,Hα=1n∑ihαij,{ eα} is a local orthonormal basis forthe normal bundle ofx.We defi…
|
| 本文献已被 CNKI 等数据库收录！ |
|
