The number of constant mean curvature isometric immersions of a surface

DOI10.4171/CMH/281zbMath1260.53023arXiv0811.1231MaRDI QIDQ1939566

Brian Smyth, Giuseppe Tinaglia

Publication date: 4 March 2013

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1231

zbMATH Keywords

rigidityminimal surfacesconstant mean curvatureisometric deformationforcetorque

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (9)

Triply periodic constant mean curvature surfaces ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ Limit lamination theorems for \(H\)-surfaces ⋮ Isometric deformations of minimal surfaces in \(\mathbb{S}^{4}\) ⋮ Curvature estimates for constant mean curvature surfaces ⋮ Isometric deformations of isotropic surfaces ⋮ Limit lamination theorem for H-disks ⋮ A survey on minimal isometric immersions into \(\mathbb{R}^3\), \(\mathbb{S}^2\times \mathbb{R}\) and \(\mathbb{H}^2\times \mathbb{R} \)

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