Spacelike maximal surfaces in 4-dimensional space forms of index 2.

DOI10.3836/tjm/1244208855zbMath1047.53041OpenAlexW2065015941MaRDI QIDQ1812486

Makoto Sakaki

Publication date: 2002

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208855

zbMATH Keywords

space-like maximal surfaceconstant normal curvaturespace form of index two

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Wintgen ideal surfaces in four-dimensional neutral indefinite space form \({R^4_2(c)}\) ⋮ Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector ⋮ Weierstrass representations of Lorentzian minimal surfaces in \(\mathbb{R}^4_2\) ⋮ Canonical coordinates and natural equations for minimal time-like surfaces in \(\mathbf{R}^4_2\) ⋮ On submanifolds with 2-type pseudo-hyperbolic Gauss map in pseudo-hyperbolic space ⋮ Lorentzian stationary surfaces and null curves in \({\mathbb R^4_2}\) ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds

Cites Work

• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• Minimal immersions of surfaces into 4-dimensional space forms
• Spacelike minimal surfaces in 4-dimensional Lorentzian space forms
• Complete minimal surfaces in \(S^ 3\)
• Minimal Surfaces with Constant Curvature in 4-Dimensional Space Forms
• Minimal Surfaces with the Ricci Condition in 4-Dimensional Space Forms

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