Abstract
We classify Willmore hypersurfaces of dimension n ≥3 in ℝ n+1 with two distinct principal curvatures under Möbius transformation group of ℝ n+1. We also characterize conformally flat Willmore hypersurfaces in ℝ n+1 for n ≥ 4 in terms of the hyperelastic curves in two-dimensional real space forms.
| Original language | English |
|---|---|
| Pages (from-to) | 129-149 |
| Number of pages | 21 |
| Journal | Pacific Journal of Mathematics |
| Volume | 256 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- Conformally flat hypersurfaces
- Elastic curve
- Willmore hypersurfaces