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Classification of hypersurfaces with parallel Möbius second fundamental form in Sn+1
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hu, Zejun Li, Haizhong |
| Copyright Year | 2004 |
| Abstract | Let Mn(n ≥ 2) be an immersed umbilic-free hypersurface in the (n+1)-dimensional unit sphere Sn+1. Then Mn is associated with a so-called Möbius metric g, and a Möbius second fundamental form B which are invariants of Mnunder the Möbius transformation group of Sn+1. In this paper, we classify all umbilic-free hypersurfaces with parallel Möbius second fundamental form. |
| Starting Page | 417 |
| Ending Page | 430 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1360/03ys0134 |
| Volume Number | 47 |
| Alternate Webpage(s) | http://faculty.math.tsinghua.edu.cn/~hli/Papers/Science%20in%20china-04.pdf |
| Alternate Webpage(s) | https://doi.org/10.1360/03ys0134 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |