# The stress-energy tensor for polyharmonic maps

## TL;DR

This paper derives the stress-energy tensor for polyharmonic maps between Riemannian manifolds and uses it to characterize specific cases like triharmonic maps.

## Contribution

It introduces a new formulation of the stress-energy tensor for polyharmonic maps and applies it to analyze triharmonic maps.

## Key findings

- Derived the stress-energy tensor for polyharmonic maps.
- Characterized triharmonic maps using the stress-energy tensor.
- Provided new insights into the structure of 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.