Spherical Surfaces

DOI10.1080/10586458.2015.1077359zbMath1346.53007arXiv1506.01605OpenAlexW3037786266MaRDI QIDQ2815495

David Brander

Publication date: 29 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01605

zbMATH Keywords

singularitiesCauchy problemintegrable systemsdifferential geometryloop groupsspherical surfacesconstant Gauss curvature

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) Differential geometric aspects of harmonic maps (53C43) Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45)

Related Items (5)

Pseudospherical surfaces with singularities ⋮ Cuspidal edges with the same first fundamental forms along a knot ⋮ Duality on generalized cuspidal edges preserving singular set images and first fundamental forms ⋮ Families of spherical surfaces and harmonic maps ⋮ Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces

Cites Work

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• Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities
• The Björling problem for non-minimal constant mean curvature surfaces
• Weierstrass type representation of harmonic maps into symmetric spaces
• Meromorphic potentials and smooth surfaces of constant mean curvature
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• Singularities of flat fronts in hyperbolic space
• New Constant Mean Curvature Surfaces
• Singularities of Harmonic Maps and Applications of the Gauss-Bonnet Formula
• The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces
• Deformations of Symmetric CMC Surfaces in the 3-Sphere
• SINGULARITIES OF IMPROPER AFFINE SPHERES AND SURFACES OF CONSTANT GAUSSIAN CURVATURE
• Horospherical flat surfaces in hyperbolic 3-space

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