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The Gauss map and second fundamental form of surfaces in \(\mathbb{R}^3\)

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Publication:1580271
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DOI10.1023/A:1005240426098zbMath0965.53007MaRDI QIDQ1580271

N. Delaunay

Publication date: 15 July 2001

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

second fundamental formGauss mapharmonic mapWeierstrass representationChristoffel's problem


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05)


Related Items (8)

Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane ⋮ The Gauss map and second fundamental form of surfaces in a Lie group ⋮ Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities ⋮ Some a priori bounds for solutions of the constant Gauss curvature equation. ⋮ Construction of non-hyperspherical immersions ⋮ Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map ⋮ The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1 ⋮ New examples of surfaces in H³ with conformal normal Gauss map






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