\(L_k\)-biharmonic hypersurfaces in the Euclidean space

DOI10.11650/TJM.19.2015.4830zbMath1357.53056OpenAlexW1591463418WikidataQ125926687 ScholiaQ125926687MaRDI QIDQ514888

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4830

zbMATH Keywords

biharmonic\(L_k \)-operatorChen conjecture

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)

Related Items (9)

Unnamed Item ⋮ \(L_k\)-biharmonic hypersurfaces in space forms ⋮ SOME L1-BICONSERVATIVE LORENTZIAN HYPERSURFACES IN THE LORENTZ-MINKOWSKI SPACES ⋮ Surfaces in \(\mathbb{S}^3\) of \(L_1\)-2-type ⋮ Unnamed Item ⋮ L K -BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES ⋮ Proper Lk-biharmonic Hypersurfaces in The Euclidean Sphere with Two Principal Curvatures ⋮ Unnamed Item ⋮ Weakly convex hypersurfaces of pseudo-Euclidean spaces satisfying the condition LkHk+1 = λHk+1

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