Biharmonic hypersurfaces in Euclidean space \(E^{5}\)

DOI10.1007/S00022-015-0310-2zbMath1362.53013OpenAlexW2222750405MaRDI QIDQ523403

Ram Shankar Gupta, Ahmad Sharfuddin

Publication date: 20 April 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0310-2

zbMATH Keywords

mean curvature vectorbiharmonic submanifoldsChen's conjecture

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) Differential geometric aspects of harmonic maps (53C43)

Related Items (10)

Biharmonic PNMCV submanifolds in Euclidean 5-space ⋮ Lorentz hypersurfaces satisfying \(\triangle \vec {H}= \alpha \vec {H}\) with non diagonal shape operator ⋮ Hypersurfaces satisfying \(\triangle \overrightarrow{H} = \lambda \overrightarrow{H}\) in \(\mathbb{E}_s^5\) ⋮ Biharmonic \(\delta (r)\)-ideal hypersurfaces in Euclidean spaces are minimal ⋮ Unnamed Item ⋮ On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\) ⋮ Hypersurfaces in pseudo-Euclidean space with condition \(\Delta\mathbf{H}=\lambda\mathbf{H}\) ⋮ Unnamed Item ⋮ Biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms ⋮ On biharmonic hypersurfaces in 6-dimensional space forms

Cites Work

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