Submanifolds in de Sitter space-time satisfying \(\Delta H = \lambda H\)

DOI10.1007/BF02761657zbMath0873.53041OpenAlexW2028016170MaRDI QIDQ1903123

Bang-Yen Chen

Publication date: 26 October 1997

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

Full work available at URL: https://doi.org/10.1007/bf02761657

zbMATH Keywords

mean curvature vectorminimal submanifoldLaplacianMinkowski spacetimede Sitter spacetime

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

A class of hypersurfaces in \(\mathbb{E}^{n+1}_s\) satisfying \(\Delta \vec{H} = \lambda\vec{H} \) ⋮ Generalized null 2-type surfaces in Minkowski 3-space ⋮ A characterisation of Helices and Cornu spirals in real space forms ⋮ Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\) ⋮ On C-parallel legendre curves in non-Sasakian contact metric manifolds

Cites Work

• Finite type submanifolds in pseudo-Euclidean spaces and applications
• On submanifolds of finite Chen type and of restricted type
• Some classification theorems for submanifolds in Minkowski space-time
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