Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space
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Publication:607439
DOI10.2478/s11533-010-0044-1zbMath1210.53058OpenAlexW2169592152MaRDI QIDQ607439
Publication date: 22 November 2010
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-010-0044-1
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (2)
Geometry of two-dimensional surfaces in space \(^2\mathbb{R}_5 \) ⋮ Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere
Cites Work
- Isometric immersions of Lorentz space with parallel second fundamental forms
- Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms
- Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space \({\mathbb E}^4_2\)
- Symmetric submanifolds of Riemannian manifolds
- On codimension one isometric immersions between indefinite space forms
- Immersions with parallel second fundamental form
- Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension
- Classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E^4_2\) and its application to biharmonic surfaces
- Codimension One Isometric Immersions Between Lorentz Spaces
- COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS
- Gravitational Collapse and Space-Time Singularities
- Boost invariant marginally trapped surfaces in Minkowski 4-space
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