Area preserving transformations in two-dimensional space forms and classical differential geometry

DOI10.1007/s11856-011-0199-xzbMath1272.53023OpenAlexW2084932102WikidataQ115377691 ScholiaQ115377691MaRDI QIDQ1760405

Walterson Ferreira, Pedro Roitman

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0199-x

zbMATH Keywords

holomorphic representationAppell and Bonnet surfaces

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Ribaucour surfaces of harmonic type ⋮ Classes of Weingarten Surfaces in S^2xR ⋮ A class of generalized special Weingarten surfaces

Cites Work

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• Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)
• Laguerre geometry of surfaces in \(\mathbb R^3\)
• Weierstrass representations of Laguerre minimal surfaces in \({\mathbb{R}}^3\)
• L-isothermic and L-minimal surfaces
• A variational problem for surfaces in Laguerre geometry
• On Continuous Area-Preserving and Legendre Transformations

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