On Weingarten surfaces in Euclidean and Lorentzian 3-space

DOI10.1016/j.difgeo.2009.12.002zbMath1205.53020OpenAlexW2081209615WikidataQ115357132 ScholiaQ115357132MaRDI QIDQ980901

Brendan S. Guilfoyle, Wilhelm jun. Klingenberg

Publication date: 8 July 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.12.002

zbMATH Keywords

mean curvaturespace-like surfaceRobertson-Walker space-timeCalabi-Bernstein's problem

Mathematics Subject Classification ID

Differential line geometry (53A25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric ⋮ Lagrangian curves on spectral curves of monopoles ⋮ Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces ⋮ Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces ⋮ PARABOLIC CLASSICAL CURVATURE FLOWS ⋮ Evolving to non-round Weingarten spheres: integer linear Hopf flows

Cites Work

• Unnamed Item
• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Monopoles and geodesics
• On the space of oriented affine lines in \(\mathbb{R}^3\)
• On the geometry of the space of oriented lines of Euclidean space
• Minimal Surfaces by Moving Frames
• Generalised Surfaces in R³
• An Indefinite Kähler Metric on the Space of Oriented Lines

This page was built for publication: On Weingarten surfaces in Euclidean and Lorentzian 3-space