A structure theorem for polyharmonic maps between Riemannian manifolds
Volker Branding
Abstract
We prove that polyharmonic maps of arbitrary order from complete nonparabolic Riemannian manifolds to arbitrary Riemannian manifolds must be harmonic if certain smallness and integrability conditions hold.
Topics & Concepts
MathematicsOrder (exchange)Pure mathematicsHarmonic mapMathematical analysisRiemannian geometryHarmonicPhysicsFinanceQuantum mechanicsEconomicsGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research