Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\)

DOI10.2140/PJM.1992.156.201zbMath0769.53009OpenAlexW1963809601MaRDI QIDQ1204315

Luis J. Alías, Angel Ferrández, Pascual Lucas

Publication date: 7 March 1993

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

Full work available at URL: https://doi.org/10.2140/pjm.1992.156.201

zbMATH Keywords

minimal surfaceszero mean curvature

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 (11)

Orthogonal surfaces with constant mean curvature in the Euclidean 4- space ⋮ Hypersurfaces in pseudo-Euclidean spaces satisfying a linear condition on the linearized operator of a higher order mean curvature ⋮ Normalized null hypersurfaces in nonflat Lorentzian space forms satisfying Lrx = Ux + b ⋮ Hypersurfaces in the Lorentz-Minkowski space satisfying \(L_{k} \psi = A\psi + b\) ⋮ Some classification of surfaces of revolution in Minkowski 3-space ⋮ Surfaces of revolution in the three dimensional simply isotropic space \(\mathbb I_3^1\) ⋮ Homothetical surfaces in three dimensional pseudo-Galilean spaces satisfying \(\Delta ^{II}\mathbf{x }_i=\lambda _i\mathbf{x }_i\) ⋮ Ruled surfaces of non-degenerate third fundamental forms in Minkowski 3-spaces ⋮ Unnamed Item ⋮ Hypersurfaces satisfying \(L_rx = Rx\) in sphere \(\mathbb S^{n+1}\) or hyperbolic space \(\mathbb H^{n+1}\) ⋮ Classification of Conformal Surfaces of Revolution in Hyperbolic 3-Space

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