The stress-energy tensor for polyharmonic maps

Abstract

We derive the stress-energy tensor for polyharmonic maps between Riemannian manifolds. Moreover, we employ the stress-energy tensor to characterize polyharmonic maps where we pay special attention to triharmonic maps.

References in corpus (2)

• A structure theorem for polyharmonic maps between Riemannian manifolds
• A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds

Cited by in corpus (14)

• Higher order energy functionals
• Polyharmonic hypersurfaces into space forms
• A structure theorem for polyharmonic maps between Riemannian manifolds
• Polyharmonic hypersurfaces into pseudo-Riemannian space forms
• On polyharmonic helices in space forms
• Unique continuation properties for polyharmonic maps between Riemannian manifolds
• On the normal stability of triharmonic hypersurfaces in space forms
• On finite energy solutions of 4-harmonic and ES-4-harmonic maps
• Harmonic maps with torsion
• Some analytic results on interpolating sesqui-harmonic maps
• On harmonic and biharmonic maps from gradient Ricci solitons
• Some classifications of conformal biharmonic and k-polyharmonic maps
• On conservation laws for polyharmonic maps
• On the normal stability of the 4-harmonic and the ES-4-harmonic hypersphere