Riemannian structures and the codimension of exceptional minimal surfaces in \(H^ n\) and \(R^ n\)

DOI10.2996/kmj/1138043484zbMath0888.53042OpenAlexW1992296511WikidataQ115224578 ScholiaQ115224578MaRDI QIDQ1911166

Makoto Sakaki

Publication date: 10 May 1998

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043484

zbMATH Keywords

hyperbolic \(n\)-spaceEuclidean \(n\)-spaceexceptional minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• An intrinsic characterization of a class of minimal surfaces in constant curvature manifolds
• Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds
• Exceptional minimal surfaces with the Ricci condition
• Exceptional minimal surfaces whose Gauss images have constant curvature
• On minimal surfaces with the Ricci condition in space forms
• Complete minimal surfaces in \(S^ 3\)
• Some intrinsic characterizations of minimal surfaces
• The family of isometric superconformal harmonic maps and the affine Toda equations.
• Minimal Surfaces with the Ricci Condition in 4-Dimensional Space Forms
• Congruence Theorems for Harmonic Maps from a Riemann Surface into C P ⁿ and S ⁿ
• Rigidity of superconformal minimal surfaces lying fully in odd-dimensional unit spheres
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Riemannian structures and the codimension of exceptional minimal surfaces in \(H^ n\) and \(R^ n\)