The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
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Publication:3622392
DOI10.1590/S0001-37652008000100002zbMath1214.53050arXivmath/0610964WikidataQ126045557 ScholiaQ126045557MaRDI QIDQ3622392
Publication date: 28 April 2009
Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610964
Monge-Ampère equationduality propertyWeierstrass representation formulade Sitter Gauss mapgeneralized Gauss mapconformal normal Gauss mapfourth fundamental form
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Cites Work
- Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space
- Weierstrass representation for minimal surfaces in hyperbolic space
- The Gauss map and second fundamental form of surfaces in \(\mathbb{R}^3\)
- Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\)
- Flat surfaces in the hyperbolic 3-space
- Isometric immersions of Riemannian manifolds
- The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
- Complete minimal surfaces in \(S^ 3\)
- A duality result between the minimal surface equation and the maximal surface equation
- New examples of surfaces in H³ with conformal normal Gauss map
- The hyperbolic Gauss map and quasiconformal reflections.
- Harmonic functions on complete riemannian manifolds
- Some Uses of the Second Conformal Structure on Strictly Convex Surfaces
- Kenmotsu type representation formula for spacelike surfaces in the de Sitter 3-space
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