Minimal Graphs on Three-Dimensional Walker Manifolds

DOI10.1007/978-3-030-57336-2_17zbMath1462.53055OpenAlexW3108583102MaRDI QIDQ5855882

Athoumane Niang, Ameth Ndiaye, Abdoul Salam Diallo

Publication date: 22 March 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-57336-2_17

zbMATH Keywords

minimal surfacesLorentz manifoldsWalker manifolds

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) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Parallel surfaces in Lorentzian three-manifolds admitting a parallel null vector field
• The Geometry of Walker Manifolds
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• A Weierstrass representation theorem for Lorentz surfaces
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• Riemannian geometry

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