Biharmonic maps of cohomogeneity one between spheres

DOI10.1016/j.jmaa.2011.09.002zbMath1230.58012OpenAlexW1969592997MaRDI QIDQ645401

Felix Zorn, Andreas Gastel

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.002

zbMATH Keywords

symmetryequivariant mapsbiharmonic mapsjointsharmonic eigenmaps

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (3)

Minimizing sequences for conformally invariant integrals of higher order ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Regularity and uniqueness of a class of biharmonic map heat flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A monotonicity formula for stationary biharmonic maps
• Regularity of polyharmonic maps in the critical dimension
• A regularity theory for harmonic maps
• Symmetric harmonic maps between spheres
• Critical point theory and submanifold geometry
• Minimal immersions of spheres into spheres
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Dimension reduction for the singular set of biharmonic maps
• Harmonic Mappings of Spheres
• CONSTRUCTION OF HARMONIC MAPS BETWEEN SPHERES BY JOINING THREE EIGENMAPS
• Stability of the equator map for the Hessian energy

This page was built for publication: Biharmonic maps of cohomogeneity one between spheres