Andrew M. Roberts

collaborators

3 papers

math.DG2026

The generalised energy identity and length of necks for $ε$ -harmonic maps

Andrew M. Roberts

In this paper we find analogues for $ε$ -harmonic maps to the generalised energy identity and the existence of geodesic necks result discovered by Yuxiang Li and Youde Wan…

math.DG2026

Low energy $ε$ -harmonic maps into the round sphere

Andrew M. Roberts

In this paper we classify the low energy $ε$ -harmonic maps from the surfaces of constant curvature with positive genus into the round sphere. We find that all such maps w…

math.DG2026

Energy identity and no neck property for $ε$ -harmonic and $I^\pm$ -harmonic maps into homogeneous target manifolds

Carolin Bayer, Andrew M. Roberts

In this paper we show the energy identity and the no-neck property for $ε$ - and $I^\pm$ -harmonic maps with homogeneous target manifolds. To prove this in the $ε$ -h…

The generalised energy identity and length of necks for ε-harmonic maps

Low energy ε-harmonic maps into the round sphere

Energy identity and no neck property for ε-harmonic and I^±-harmonic maps into homogeneous target manifolds

The generalised energy identity and length of necks for $ε$ -harmonic maps

Low energy $ε$ -harmonic maps into the round sphere

Energy identity and no neck property for $ε$ -harmonic and $I^\pm$ -harmonic maps into homogeneous target manifolds