Approximating singularities by a cuspidal-edge on a maxface

DOI10.1007/S00013-022-01747-9OpenAlexW3138938279MaRDI QIDQ2153275

Pradip Kumar, Sai Rasmi Ranjan Mohanty

Publication date: 1 July 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10358

zbMATH Keywords

Björling problemcuspidal-edgemaxface singularities

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) Non-Euclidean differential geometry (53A35)

Related Items (2)

Superposition of generalized maximal immersions and its applications ⋮ Higher Genus Maxfaces with Enneper End

Cites Work

• Maximal surfaces with conelike singularities
• Singularities of maximal surfaces
• Flux of simple ends of maximal surfaces in \(\mathbb R^{2,1}\)
• Geometry of cuspidal edges with boundary
• Local differential geometry of cuspidal edge and swallowtail
• The geometry of fronts
• Prescribing singularities of maximal surfaces via a singular Björling representation formula
• On the existence of space-like constant mean curvature surfaces spanning two circular contours in Minkowski space
• Maximal surfaces with singularities in Minkowski space
• Singularities of spacelike constant mean curvature surfaces in Lorentz–Minkowski space
• Generalized maximal surfaces in Lorentz–Minkowski space L³
• Duality between cuspidal butterflies and cuspidal singularities on maximal surfaces
• Existence of maximal surface containing given curve and special singularity

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