Willmore hypersurfaces with two distinct principal curvatures in R n+1

Tongzhu Li*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

2 引用 (Scopus)

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
页(从-至)129-149
页数21
期刊Pacific Journal of Mathematics
256
1
DOI
出版状态已出版 - 2012

指纹

探究 'Willmore hypersurfaces with two distinct principal curvatures in R n+1' 的科研主题。它们共同构成独一无二的指纹。

引用此

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