scientific article; zbMATH DE number 7316318

zbMath1455.53029MaRDI QIDQ4965336

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Publication date: 1 March 2021

Full work available at URL: http://ijmsi.ir/article-1-816-en.html

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zbMATH Keywords

1-minimal\(L_1\)-biharmonic hypersurfaceslinearized operators \(L_1\)

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) Differential geometric aspects of harmonic maps (53C43) Lagrangian submanifolds; Maslov index (53D12)

Related Items (2)

Unnamed Item ⋮ L K -BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES

Cites Work

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• Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean 5-space
• \(L_k\)-biharmonic hypersurfaces in the Euclidean space
• An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures
• Restrictions on harmonic maps of surfaces
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Biharmonic ideal hypersurfaces in Euclidean spaces
• Biharmonic properly immersed submanifolds in Euclidean spaces
• ON BI-HARMONIC HYPERSURFACES IN EUCLIDEAN SPACE OF ARBITRARY DIMENSION
• ON SOME L₁-FINITE TYPE (HYPER)SURFACES IN ℝⁿ⁺¹
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• Harmonic Mappings of Riemannian Manifolds

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