MARGINALLY TRAPPED MERIDIAN SURFACES OF PARABOLIC TYPE IN THE FOUR-DIMENSIONAL MINKOWSKI SPACE

DOI10.1142/S0219887813500606zbMath1278.53022arXiv1205.6350MaRDI QIDQ2865249

Velichka Milousheva, Georgi Ganchev

Publication date: 29 November 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6350

zbMATH Keywords

light-like mean curvature vectormeridian surfaces in Minkowski spacemarginally trapped surfaces in four-dimensional Minkowski space

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\)
• Screw invariant marginally trapped surfaces in Minkowski 4-space
• Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group
• 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
• An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space
• Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
• Spatial and Lorentzian surfaces in Robertson-Walker space times
• Gravitational Collapse and Space-Time Singularities
• Boost invariant marginally trapped surfaces in Minkowski 4-space

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