Timelike surfaces with zero mean curvature in Minkowski 4-space

DOI10.1007/s11856-012-0169-yzbMath1281.53022arXiv1111.4307OpenAlexW2096506775MaRDI QIDQ375894

Georgi Ganchev, Velichka Milousheva

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/1111.4307

zbMATH Keywords

Gauss curvaturenormal curvaturezero mean curvaturetime-like surfacecanonical parametersmeridian curveMoore-type surfacemoving free field

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric ⋮ An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time ⋮ Canonical coordinates and natural equations for minimal time-like surfaces in \(\mathbf{R}^4_2\) ⋮ Nonnull soliton surface associated with the Betchov-Da Rios equation

Cites Work

• Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\)
• On the theory of surfaces in the four-dimensional Euclidean space
• Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group
• Minimal immersions of surfaces into 4-dimensional space forms
• Hyperbolic rotation surfaces of constant mean curvature in 3-de Sitter space
• An invariant theory of spacelike surfaces in the four-dimensional Minkowski space
• Weingarten rotation surfaces in 3-dimensional de Sitter space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• General Rotational Surfaces in $\R^4$ with Meridians Lying in Two-Dimensional Planes
• Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms
• Boost invariant marginally trapped surfaces in Minkowski 4-space
• Minimal surfaces in $4$-dimensional Riemannian manifolds of constant curvature
• Unnamed Item

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