Lorentzian stationary surfaces in 4-dimensional space forms of index 2

DOI10.21099/TKBJM/1331658705zbMath1236.53052OpenAlexW1502045553MaRDI QIDQ763971

Makoto Sakaki

Publication date: 3 April 2012

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1331658705

zbMATH Keywords

normal curvatureLorentzian stationary surface4-dimensional space form of index 2

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric ⋮ Lorentzian stationary surfaces and bi-null curves in ℝ25 ⋮ Canonical coordinates and natural equations for minimal time-like surfaces in \(\mathbf{R}^4_2\) ⋮ Four classes of surfaces with constant mean curvature in \(S^3\times\mathbb R\) and \(H^3\times\mathbb R\) ⋮ Lorentzian stationary surfaces and null curves in \({\mathbb R^4_2}\) ⋮ Explicit solving of the system of natural PDEs of minimal Lorentz surfaces in \(\mathbb{R}_2^4\)

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