Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map
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Publication:2496842
DOI10.1016/j.geomphys.2005.07.004zbMath1096.53036OpenAlexW2168702394MaRDI QIDQ2496842
José M. Espinar, Juan A. Aledo, José A. Gálvez
Publication date: 20 July 2006
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.07.004
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (3)
Darboux vector in four-dimensional space-time ⋮ Lorentz-conformal transformations in the plane ⋮ On Bézier surfaces in three-dimensional Minkowski space
Cites Work
- Unnamed Item
- Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
- Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map
- Weierstrass formula for surfaces of prescribed mean curvature
- On completeness of certain families of semi-Riemannian manifolds
- Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)
- The Gauss map and second fundamental form of surfaces in \(\mathbb{R}^3\)
- On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures
- Darboux transformations on timelike constant mean curvature surfaces
- The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space
- Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane
- An introduction to Lorentz surfaces
- Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
- On the harmonic maps from R 1,1 to S 1,1.
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