Bochner-Simons formulas and the rigidity of biharmonic submanifolds

DOI10.1007/s12220-019-00323-yzbMath1467.53065arXiv1801.07879OpenAlexW2989863221MaRDI QIDQ2659481

Cezar Dumitru Oniciuc, Dorel Fetcu, Eric Loubeau

Publication date: 26 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07879

zbMATH Keywords

space formsbiharmonic submanifoldsstress-energy tensorconstant mean curvature hypersurfacebiconservative submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Some characterizations of linear Weingarten surfaces in 3-dimensional space forms ⋮ Biharmonic and biconservative hypersurfaces in space forms ⋮ Biconservative surfaces in the 4-dimensional Euclidean sphere ⋮ Biconservative submanifolds with parallel normalized mean curvature vector field in Euclidean spaces ⋮ On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\) ⋮ Closed biconservative hypersurfaces in spheres

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