| Abstract: |
| We consider the Euler--Lagrange equations satisfied by the critical points of a large class of conformally invariant extrinsic energies for 4-manifolds immersed into Euclidean space. Using invariances and Noether`s theorem, we convert the Euler--Lagrange equation into a system of equations with analytically favourable structures, and we develop small-energy estimates. This generalises to the four-dimensional setting ideas originally developed for the Willmore energy in two dimensions. |
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