Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces
DOI10.1016/j.geomphys.2010.04.014zbMath1200.53054OpenAlexW1980180605MaRDI QIDQ988888
Publication date: 19 August 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.04.014
pseudo-Euclidean spaceLorentz surfaceindefinite space formindefinite space form Lorentz surfaceminimal Lorentz surface
Unified, higher-dimensional and super field theories (83E99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parallel and semi-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb R\)
- Isometric immersions of Lorentz space with parallel second fundamental forms
- Parallel surfaces in three-dimensional Lorentzian Lie groups
- Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms
- Finite type submanifolds in pseudo-Euclidean spaces and applications
- 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
- Parallel surfaces in the motion groups \(E(1,1)\) and \(E(2)\)
- A complete classification of parallel surfaces in three-dimensional homogeneous spaces
- Codimension One Isometric Immersions Between Lorentz Spaces
- COMPLETE CLASSIFICATION OF LORENTZ SURFACES WITH PARALLEL MEAN CURVATURE VECTOR IN ARBITRARY PSEUDO-EUCLIDEAN SPACE
- COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS
- Parallel surfaces in Lorentzian three-manifolds admitting a parallel null vector field
- LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES
- Dependence of the Gauss-Codazzi equations and the Ricci equation of Lorentz surfaces
- Gravitational Collapse and Space-Time Singularities
This page was built for publication: Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces