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Biharmonic hypersurfaces in \(E^5\) with zero scalar curvature

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Publication:888162
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zbMath1333.53010MaRDI QIDQ888162

Deepika, Ram Shankar Gupta

Publication date: 4 November 2015

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1439297863


zbMATH Keywords

scalar curvaturemean curvature vectorbiharmonic submanifoldChen'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) Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)


Related Items (7)

Hypersurfaces satisfying \(\triangle \overrightarrow{H} = \lambda \overrightarrow{H}\) in \(\mathbb{E}_s^5\) ⋮ Lorentz hypersurfaces in pseudo-Euclidean space \(E_1^5\) ⋮ Biharmonic hypersurfaces in Euclidean space \(E^{5}\) ⋮ Hypersurfaces in pseudo-Euclidean space with condition \(\Delta\mathbf{H}=\lambda\mathbf{H}\) ⋮ Biconservative hypersurfaces in Euclidean 5-space ⋮ On biharmonic hypersurfaces in 6-dimensional space forms ⋮ Biconservative hypersurfaces in space forms \(\overline{M}^{n+1}(c)\)







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