Some classifications of conformal biharmonic and \(k\)-polyharmonic maps

DOI10.1007/s11464-021-0284-3arXiv2107.10378OpenAlexW4317651085MaRDI QIDQ6058270

Ye-Lin Ou

Publication date: 1 November 2023

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

Full work available at URL: https://arxiv.org/abs/2107.10378

zbMATH Keywords

Möbius transformationbiharmonic mapconformal biharmonic map\(k\)-polyharmonic mapconformal \(k\)-polyharmonic map

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triharmonic isometric immersions into a manifold of non-positively constant curvature
• Conformal and semi-conformal biharmonic maps
• Biharmonic maps and morphisms from conformal mappings
• New examples of \(r\)-harmonic immersions into the sphere
• Biharmonic conformal maps in dimension four and equations of Yamabe-type
• Proper \(r\)-harmonic submanifolds into ellipsoids and rotation hypersurfaces
• On constructing biharmonic maps and metrics
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• A structure theorem for polyharmonic maps between Riemannian manifolds
• The stress-energy tensor for polyharmonic maps
• Rotationally symmetric biharmonic maps between models
• Polyharmonic maps into the Euclidean space
• Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
• Unique continuation theorems for biharmonic maps
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature

This page was built for publication: Some classifications of conformal biharmonic and \(k\)-polyharmonic maps