Minimal Surfaces with the Ricci Condition in 4-Dimensional Space Forms

DOI10.2307/2160437zbMath0807.53048OpenAlexW4253694092MaRDI QIDQ4300980

Makoto Sakaki

Publication date: 12 July 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160437

zbMATH Keywords

minimal surfaceGaussian curvaturenormal scalar curvaturereduction of codimension

Mathematics Subject Classification ID

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

Related Items (9)

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 ⋮ Isometric deformations of pseudoholomorphic curves in the nearly Kähler sphere \(\mathbb{S}^6\) ⋮ Minimal surfaces, Hopf differentials and the Ricci condition ⋮ Special Liouville metric with the Ricci condition ⋮ Spacelike maximal surfaces in 4-dimensional space forms of index 2. ⋮ The splitting and deformations of the generalized Gauss map of compact CMC surfaces

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