Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension
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Publication:3650516
DOI10.1063/1.3100755zbMath1214.53021OpenAlexW2042402969MaRDI QIDQ3650516
Publication date: 14 December 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3100755
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) (G)-structures (53C10)
Related Items (10)
Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space ⋮ Surfaces with parallel normalized mean curvature vector field in Euclidean or Minkowski 4-space ⋮ Biharmonic submanifolds with parallel mean curvature vector in pseudo-Euclidean spaces ⋮ On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map ⋮ Classification of Lorentzian surfaces with parallel mean curvature vector in \({\mathbb E}^4_2\) ⋮ Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension ⋮ Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces ⋮ Space-like surfaces in the Minkowski space \(\mathbb{E}_1^4\) with pointwise 1-type Gauss maps ⋮ On the geometry of trapped and marginally trapped submanifolds in Lorentzian space forms ⋮ Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
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