An intrinsic characterization of a class of minimal surfaces in constant curvature manifolds

DOI10.2140/pjm.1991.149.113zbMath0729.53053OpenAlexW2029121844MaRDI QIDQ806077

Gene Douglas Johnson

Publication date: 1991

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1991.149.113

zbMATH Keywords

minimal surfaceosculating spacestructure equationsexceptional normal planeRicci-Lawson theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (13)

Exceptional minimal surfaces in spheres ⋮ On minimal surfaces with the Ricci condition in space forms ⋮ Riemannian structures and the codimension of exceptional minimal surfaces in \(H^ n\) and \(R^ n\) ⋮ Minimal surfaces in spheres and a Ricci-like condition ⋮ Rigidity of superconformal minimal surfaces lying fully in odd-dimensional unit spheres ⋮ 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 ⋮ Isometric deformations of pseudoholomorphic curves in the nearly Kähler sphere \(\mathbb{S}^6\) ⋮ Minimal surfaces, Hopf differentials and the Ricci condition ⋮ Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\) ⋮ Isometric deformations of isotropic surfaces ⋮ The associated family of an elliptic surface and an application to minimal submanifolds ⋮ Gauss curvature of Gaussian image of minimal surfaces

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