On Wintgen ideal surfaces

zbMath1266.53007arXiv1307.1825MaRDI QIDQ4648085

Bang-Yen Chen

Publication date: 8 November 2012

Full work available at URL: https://arxiv.org/abs/1307.1825

zbMATH Keywords

Whitney sphereGauss curvaturenormal curvaturesuperminimal surfacesquared mean curvatureWintgen ideal surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

Related Items (7)

On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms ⋮ On the generalized Wintgen inequality for Lagrangian submanifolds in complex space forms ⋮ Pseudosymmetry properties of generalised Wintgen ideal Legendrian submanifolds ⋮ On totally real statistical submanifolds ⋮ Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature ⋮ Wintgen inequality for statistical surfaces ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds

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