Extremal Lorentzian surfaces with null \(r\)-planar geodesics in space forms

DOI10.2748/tmj/1450798076zbMath1334.53057OpenAlexW2243130171WikidataQ125123087 ScholiaQ125123087MaRDI QIDQ5962817

Kazuyuki Hasegawa, Kouhei Miura

Publication date: 24 February 2016

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1450798076

zbMATH Keywords

Boruvka spheresextremal Lorentzian surfaceshigher fundamental formsreflector lifts

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector ⋮ Surfaces with zero mean curvature vector in neutral 4-manifolds ⋮ The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles ⋮ Horizontality in the twistor spaces associated with vector bundles of rank 4 on tori ⋮ Nilpotent structures of neutral 4-manifolds and light-like surfaces

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• Minimal Surfaces of Constant Curvature in S n
• Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index

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