Helicoidal maximal surfaces in Lorentz-Minkowski space

DOI10.1007/s00605-003-0111-9zbMath1050.53014OpenAlexW2064032532WikidataQ56885384 ScholiaQ56885384MaRDI QIDQ1423734

Pablo Mira, José A. Pastor

Publication date: 7 March 2004

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-003-0111-9

zbMATH Keywords

Minkowski spaceLorentz spacemaximal surfaceBjörling problemcatenoidshelicoidal surfaceassociate family

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (14)

HELICOIDAL MINIMAL SURFACES IN ℍ²×ℝ ⋮ Structure Functions of Ruled Surfaces with Null Rulings ⋮ On the duality between rotational minimal surfaces and maximal surfaces ⋮ Prescribing singularities of maximal surfaces via a singular Björling representation formula ⋮ Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature ⋮ The Cauchy problem for the Liouville equation and Bryant surfaces ⋮ Timelike minimal surfaces via loop groups ⋮ Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ Slant helices: a new approximation ⋮ Minimal surfaces in ${\mathbb{R}}^{4}$ foliated by conic sections and parabolic rotations of holomorphic null curves in ${\mathbb{C}}^{4}$ ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ The affine Cauchy problem ⋮ Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms ⋮ Bonnet-Thomsen surfaces in Minkowski geometry

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