Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature

DOI10.1016/j.geomphys.2020.103984zbMath1457.53041arXiv2007.13589OpenAlexW3043889579MaRDI QIDQ2220113

Luc Vrancken, Zhida Guan, Haizhong Li

Publication date: 21 January 2021

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

Full work available at URL: https://arxiv.org/abs/2007.13589

zbMATH Keywords

constant mean curvaturebiharmonic mapsbiharmonic hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Harmonic maps, etc. (58E20)

Related Items (7)

Triharmonic CMC hypersurfaces in space forms with at most \(3\) distinct principal curvatures ⋮ Biharmonic and biconservative hypersurfaces in space forms ⋮ Recent progress of biharmonic hypersurfaces in space forms ⋮ Biharmonic conjectures on hypersurfaces in a space form ⋮ Triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms ⋮ Unnamed Item ⋮ On \(\eta\)-biharmonic hypersurfaces with constant scalar curvature in higher dimensional pseudo-Riemannian space forms

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