Branch points of conformal mappings of surfaces

DOI10.1007/BF01458532zbMath0653.53046OpenAlexW1999192177MaRDI QIDQ1107858

Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164343

zbMATH Keywords

harmonic mapsconformal mapssurfaces of prescribed mean curvatureumbilical pointstotal Gauss curvatureconformal smoothly branched immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Projective differential geometry (53A20)

Related Items (14)

Exceptional minimal surfaces in spheres ⋮ Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies ⋮ On deformable minimal hypersurfaces in space forms ⋮ Minimal surfaces in spheres and a Ricci-like condition ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ First eigenvalue of the Laplacian on compact surfaces for large genera ⋮ Isometric deformations of pseudoholomorphic curves in the nearly Kähler sphere \(\mathbb{S}^6\) ⋮ Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space ⋮ Minimal surfaces, Hopf differentials and the Ricci condition ⋮ Lagrangian spheres in the 2-dimensional complex space forms ⋮ Conformal immersions of prescribed mean curvature in \(\mathbb{R}^3\) ⋮ On the Yang-Yau inequality for the first Laplace eigenvalue ⋮ Harmonic maps and harmonic morphisms ⋮ Existence of minimizing Willmore Klein bottles in Euclidean four-space

Cites Work

• Unnamed Item
• Harmonic maps from surfaces to complex projective spaces
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• Minimal immersions of surfaces into 4-dimensional space forms
• Constant mean curvature surfaces in 4-space forms
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• The number of branch points of surfaces of bounded mean curvature
• A Theory of Branched Immersions of Surfaces

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