Flat centroaffine surfaces with parallel second fundamental form in \(\mathbb{R}^4\)

DOI10.1016/J.AMC.2014.06.062zbMath1335.53006OpenAlexW2088769974MaRDI QIDQ280030

Yun Yang, Yanhua Yu, Liu Hui-Li

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.062

zbMATH Keywords

curvaturethe second fundamental formcentroaffine surfacesPick invariant

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (1)

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Cites Work

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• Linear Weingarten centroaffine translation surfaces in \(\mathbb R^3\)
• Indefinite equi-centroaffinely homogeneous surfaces with vanishing Pick-invariant in \(\mathbb{R}^ 4\)
• Flat centroaffine surfaces with the degenerate second fundamental form and vanishing Pick invariant in \(\mathbb R^{4}\)
• Centroaffine differential geometry: Submanifolds of codimension 2
• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Centroaffine ruled surfaces in \(\mathbb R^3\)
• Classification of surfaces in \(\mathbb{R}^ 3\) which are centroaffine-minimal and equiaffine-minimal
• Hypersurfaces which are equiaffine extremal and centroaffine extremal
• Centroaffine translation surfaces in \(\mathbb{R}^3\)
• Centroaffine immersions of codimension two and projective hypersurface theory
• Global affine differential geometry of hypersurfaces
• Minimal centroaffine immersions of codimension two
• Minimal centroaffine immersions of codimension two

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