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Spacelike surfaces in \(\mathbb L^4\) with degenerate Gauss map

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Publication:1758348
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DOI10.1007/S00025-011-0146-5zbMath1259.53054OpenAlexW2123620068MaRDI QIDQ1758348

José Antonio M. Vilhena, Antonio Carlos Asperti

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0146-5


zbMATH Keywords

Gauss mapspace-like surfacesLorentz-Minkowski space


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)


Related Items (3)

Unnamed Item ⋮ On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image ⋮ Unnamed Item




Cites Work

  • Unnamed Item
  • The Gauss map of surfaces in \(\mathbb R^ n\)
  • Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
  • On maximal surfaces in the \(n\)-dimensional Lorentz-Minkowski space
  • Ruled Weingarten surfaces in Minkowski 3-space
  • Complex Einstein hypersurfaces of indefinite complex space forms
  • The geometry of the generalized Gauss map




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