Biharmonic conformal immersions into three-dimensional manifolds

DOI10.1007/S00009-014-0420-3zbMath1320.58007arXiv1209.2104OpenAlexW2046873491MaRDI QIDQ2354279

Ye-Lin Ou

Publication date: 10 July 2015

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

Full work available at URL: https://arxiv.org/abs/1209.2104

zbMATH Keywords

minimal surfacesconstant mean curvature surfacesbiharmonic mapsbiharmonic conformal immersions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (5)

Biharmonic maps from tori into a 2-sphere ⋮ On $\lambda $-Biminimal Conformal Immersions ⋮ Biharmonic conformal maps in dimension four and equations of Yamabe-type ⋮ \(f\)-biharmonic maps and \(f\)-biharmonic submanifolds. II. ⋮ Some recent work on biharmonic conformal maps

Cites Work

• Biharmonic hypersurfaces in Riemannian manifolds
• Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature
• On conformal biharmonic immersions
• Biharmonic maps into a Riemannian manifold of non-positive curvature
• BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Biharmonic conformal immersions into three-dimensional manifolds