Isoparametric surfaces in $\mathbb{E}(\kappa,\tau)$-spaces
Differential Geometry
2021-11-24 v1
Abstract
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.
Cite
@article{arxiv.1803.06154,
title = {Isoparametric surfaces in $\mathbb{E}(\kappa,\tau)$-spaces},
author = {Miguel Domínguez-Vázquez and José M. Manzano},
journal= {arXiv preprint arXiv:1803.06154},
year = {2021}
}
Comments
13 pages