Surfaces in \(\mathbb{S}^3\) of \(L_1\)-2-type

DOI10.1007/S40840-016-0423-2zbMath1406.53063OpenAlexW2525602521MaRDI QIDQ1714020

Pascual Lucas, Hector Fabián Ramírez-Ospina

Publication date: 31 January 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0423-2

zbMATH Keywords

Newton transformationspherical surface\(L_1\)-biharmonic surface\(L_1\)-finite-type surfaceCheng-Yau operator \(L_1\)

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25)

Related Items (2)

\(L_1\)-\(2\)-type surfaces in 3-dimensional de Sitter and anti de Sitter spaces ⋮ Unnamed Item

Cites Work

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• An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures
• 2-type surfaces in \(S^ 3\)
• Hypersurfaces with constant scalar curvature
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• A Local Classification of 2-Type Surfaces in S 3
• ON SOME L₁-FINITE TYPE (HYPER)SURFACES IN ℝⁿ⁺¹
• Some open problems and conjectures on submanifolds of finite type: recent development

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