Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures
DOI10.1016/j.geomphys.2018.04.007zbMath1391.53022OpenAlexW2800970438MaRDI QIDQ1635473
Zhenxiao Xie, Xiaozhen Wang, Chang Ping Wang
Publication date: 6 June 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.04.007
conformal geometry of Lorentzian space formsconformally flat Lorentzian hypersurfacesintegrability equationsnon-diagonalizable shape operators
Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (3)
Cites Work
- Hypersurfaces of two space forms and conformally flat hypersurfaces
- A duality for conformally flat hypersurfaces
- Moebius geometry of submanifolds in \(\mathbb{S}^n\)
- Conformally flat Lorentzian hypersurfaces in \(\mathbb R_1^4\) with three distinct principal curvatures
- Spacelike Dupin hypersurfaces in Lorentzian space forms
- Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics
- On conformally flat hypersurfaces and Guichard's nets
- Conformally flat hypersurfaces with Bianchi-type Guichard net
- Conformally flat Lorentzian hypersurfaces in the conformal compactification of Lorentz space
- Conformally flat hypersurfaces in Euclidean 2-space. II
- Generalized Weierstrass representations of surfaces with the constant Gauss curvature in pseudo-Riemannian three-dimensional space forms
- CONFORMALLY FLAT HYPERSURFACES WITH CYCLIC GUICHARD NET
- Conformally flat hypersurfaces in Euclidean 4-space
- Möbius geometry for hypersurfaces in S4
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