LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES
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Publication:3648305
DOI10.1142/S0129167X09005728zbMath1177.53018OpenAlexW2009419792MaRDI QIDQ3648305
Giovanni Calvaruso, Joeri Van der Veken
Publication date: 25 November 2009
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x09005728
Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (6)
Totally geodesic and parallel hypersurfaces of four-dimensional oscillator groups ⋮ Totally geodesic and parallel hypersurfaces of Gödel-type spacetimes ⋮ Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces ⋮ COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS ⋮ Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds ⋮ Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces
Cites Work
- Isometric immersions of Lorentz space with parallel second fundamental forms
- Homogeneous structures on three-dimensional Lorentzian manifolds
- Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms
- On symmetric submanifolds of spaces of constant curvature
- Curvatures of left invariant metrics on Lie groups
- On curvature homogeneous three-dimensional Lorentzian manifolds
- Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
- A complete classification of parallel surfaces in three-dimensional homogeneous spaces
- Three-dimensional Lorentz manifolds admitting a parallel null vector field
- Lorentzian symmetric spaces
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