Wintgen ideal surfaces in four-dimensional neutral indefinite space form \({R^4_2(c)}\)

DOI10.1007/S00025-011-0119-8zbMath1267.53054OpenAlexW2054181215MaRDI QIDQ1930334

Bang-Yen Chen

Publication date: 10 January 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0119-8

zbMATH Keywords

mean curvatureGauss curvatureInequalitynormal curvaturepseudo-hyperbolic 4-spaceWintgen ideal surfaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Non-Euclidean differential geometry (53A35)

Related Items (1)

Recent developments in Wintgen inequality and Wintgen ideal submanifolds

Cites Work

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• Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension
• A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization
• Minimal Surfaces with Constant Curvature in 4-Dimensional Space Forms
• Exact solutions of a class of differential equations of Lamé's type and its applications to contact geometry

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