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Isoparametric surfaces in $\mathbb{E}(\kappa,\tau)$-spaces. (arXiv:1803.06154v1 [math.DG])

来源于:arXiv
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. 查看全文>>