Year: 2026
Type: preprint
Abstract: We construct closed embedded $λ$-hypersurfaces in ${\mathbb{R}^{n+1}}$ of topological type ${S^1\times M}$ for any ${λ\ge 0}$, where ${M\subset\mathbb{S}^n}$ is an isoparametric hypersurface with equal principal curvature multiplicities. This extends previous results of Angenent, McGrath, and Riedler (for ${λ= 0}$) as well as Cheng-Wei and Ross (for ${λ> 0}$), and in particular completes the missing case of Riedler's construction.
Source: arXiv (Cornell University)
Authors: Junqi, Lai, Guoxin, Wei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214003070