摘要
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.
源语言 | 英语 |
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页(从-至) | 129-149 |
页数 | 21 |
期刊 | Pacific Journal of Mathematics |
卷 | 256 |
期 | 1 |
DOI | |
出版状态 | 已出版 - 2012 |
指纹
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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