There exist no 2-type surfaces in \(E^ 3\) which are images under stereographic projection of minimal surfaces in \(S^ 3\)

DOI10.1007/BF00136865zbMath0782.53044MaRDI QIDQ1202525

Manuel Barros

Publication date: 25 February 1993

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Willmore surfacesminimal surfaces2-type surfaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• On subharmonic functions and differential geometry in the large
• Eigenvalue inequalities for minimal submanifols and P-manifolds
• On spectral geometry of Kähler submanifolds
• 2-type surfaces in \(S^ 3\)
• Spectral geometry of minimal surfaces in the sphere
• On a certain class of finite type surfaces of revolution
• Spherical Chen surfaces which are mass-symmetric and of 2-type
• 2-type surfaces of constant curvature in \(S^n\)
• Null 2-type surfaces in \(E^ 3\) are circular cylinders
• Stationary 2-type surfaces in a hypersphere
• Minimal immersions of Riemannian manifolds
• Complete surfaces in \(E^ 3\) with constant mean curvature
• Complete minimal surfaces in \(S^ 3\)
• Spherical submanifolds which are of 2-type via the second standard immersion of the sphere

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