A dual rigidity of the sphere and the hyperbolic plane

DOI10.1515/ADVGEOM-2017-0039zbMath1386.53005arXiv1505.05446OpenAlexW2963947253MaRDI QIDQ1707424

Rafael M. Rubio, Magdalena Caballero

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05446

zbMATH Keywords

Euclidean and Lorentzian geometriessphere and hyperbolic plane

Mathematics Subject Classification ID

Rigidity results (53C24) Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)

Cites Work

• Unnamed Item
• Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space
• Some new characterizations of the Euclidean sphere
• Hyperbolic Geometry on a Hyperboloid
• Dual characterizations of the sphere and the hyperbolic space in arbitrary dimension
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Constant Mean Curvature Surfaces with Boundary

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