Mathematics > Differential Geometry
[Submitted on 16 Mar 2018]
Title:Isoparametric surfaces in $\mathbb{E}(κ,τ)$-spaces
View PDFAbstract:We provide an explicit classification of the following four families of surfaces in any homogeneous 3-manifold with 4-dimensional isometry group: isoparametric surfaces, surfaces with constant principal curvatures, homogeneous surfaces, and surfaces with constant mean curvature and vanishing Abresch-Rosenberg differential.
Submission history
From: José Miguel Manzano [view email][v1] Fri, 16 Mar 2018 10:34:23 UTC (15 KB)
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