A general approach to equivariant biharmonic maps

DOI10.1007/S00009-012-0207-3zbMath1268.58014arXiv1109.6207OpenAlexW2964347901MaRDI QIDQ1949873

Stefano Montaldo, Andrea Ratto

Publication date: 17 May 2013

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

Full work available at URL: https://arxiv.org/abs/1109.6207

zbMATH Keywords

maximum principlebiharmonic mapsequivariant theory

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (20)

Unique continuation properties for polyharmonic maps between Riemannian manifolds ⋮ Proper biconservative immersions into the Euclidean space ⋮ Biharmonic maps from tori into a 2-sphere ⋮ Higher order energy functionals and the Chen-Maeta conjecture ⋮ Biharmonic maps from a 2-sphere ⋮ New examples of \(r\)-harmonic immersions into the sphere ⋮ A note on the Almansi property ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Higher order energy functionals ⋮ A note on equivariant biharmonic maps and stable biharmonic maps ⋮ On polyharmonic helices in space forms ⋮ Biharmonic holomorphic maps and conformally Kähler geometry ⋮ Index and nullity of proper biharmonic maps in spheres ⋮ Proper \(r\)-harmonic submanifolds into ellipsoids and rotation hypersurfaces ⋮ Equivariant biharmonic maps between manifolds with metrics of signature ⋮ Correction to: ``A general approach to equivariant biharmonic maps ⋮ On minimizing extrinsic biharmonic maps ⋮ Weakly biharmonic maps from the ball to the sphere ⋮ Unique continuation theorems for biharmonic maps ⋮ Rotationally symmetric biharmonic maps between models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Biharmonic maps between warped product manifolds
• The Euler-Lagrange method for biharmonic curves
• Classification results for biharmonic submanifolds in spheres
• Geometry of harmonic maps
• Biharmonic hypersurfaces in 4-dimensional space forms
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Another Report on Harmonic Maps
• Some properties and applications of harmonic mappings
• A Report on Harmonic Maps

This page was built for publication: A general approach to equivariant biharmonic maps