The DPW method for constant mean curvature surfaces in 3-dimensional Lorentzian spaceforms, with applications to Smyth type surfaces

DOI10.14492/HOKMJ/1510045301zbMath1379.53083OpenAlexW2767294784WikidataQ125260148 ScholiaQ125260148MaRDI QIDQ1683755

Yuta Ogata

Publication date: 1 December 2017

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1510045301

zbMATH Keywords

integrable systemssurface theorygeneralized Weierstrass representationSmyth surfacesde Sitter and anti-de Sitter spaces

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Singularities of Gauss maps of frontal surfaces with non-front singular points ⋮ Minimal n -noids in hyperbolic and anti-de Sitter 3-space

This page was built for publication: The DPW method for constant mean curvature surfaces in 3-dimensional Lorentzian spaceforms, with applications to Smyth type surfaces