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
Fingerprint
Dive into the research topics of 'Willmore hypersurfaces with two distinct principal curvatures in R n+1'. Together they form a unique fingerprint.Cite this
Li, T. (2012). Willmore hypersurfaces with two distinct principal curvatures in R n+1 Pacific Journal of Mathematics, 256(1), 129-149. https://doi.org/10.2140/pjm.2012.256.129