Removable singularities and bubbling of harmonic maps and biharmonic maps

2009/12/21 by Nakauchi, Nabumitsu, Urakawa, Hajime
#53C43 #58E20 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0912.4086

Abstract

By using Moser's iteration technique, we show some removable singularity theorem of the tension field for biharmonic maps into manifolds of non-positive curvature, and the bubbling theorem of biharmonic maps and also harmonic maps.

Related

• Neck analysis for biharmonic maps
• Biharmonic maps into a Riemannian manifold of non-positive curvature
• Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold
• Biharmonic properties and conformal changes
• A short survey on biharmonic maps between Riemannian manifolds