Minimal ruled submanifolds in Minkowski space \(\mathbb L^{m}\)

DOI10.1016/j.geomphys.2012.04.003zbMath1244.53023OpenAlexW1998926578MaRDI QIDQ442535

Young Ho Kim, Dongsoo S. Kim

Publication date: 1 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.04.003

zbMATH Keywords

Minkowski spaceminimal submanifoldruled submanifold

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 (4)

Submanifolds related to Gauss map and some differential operators ⋮ Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space ⋮ Minimal ruled submanifolds associated with Gauss map ⋮ Gauss map and its applications on ruled submanifolds in Minkowski space

Cites Work

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• Extended \(B\)-scrolls and their Gauss maps
• On surfaces in the 3-dimensional Lorentz-Minkowski space
• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Die Minimalhyperregelflächen
• Lorentzian isoparametric hypersurfaces

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