Biharmonic surfaces of constant mean curvature

DOI10.2140/pjm.2014.271.213zbMath1322.53060arXiv1305.7020OpenAlexW3104356476MaRDI QIDQ471295

Eric Loubeau, Cezar Dumitru Oniciuc

Publication date: 14 November 2014

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

Full work available at URL: https://arxiv.org/abs/1305.7020

zbMATH Keywords

constant mean curvaturebiharmonic mapsstress-energy tensor

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

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SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE ⋮ Bochner-Simons formulas and the rigidity of biharmonic submanifolds ⋮ On biconservative surfaces ⋮ Biharmonic and biconservative hypersurfaces in space forms ⋮ Biharmonic surfaces with parallel mean curvature in complex space forms ⋮ Biharmonic hypersurfaces with constant scalar curvature in space forms ⋮ CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\) ⋮ On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\) ⋮ Biconservative surfaces

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