A. Savas-Halilaj

collaborators

3 papers

math.DG2026

On mean curvature flow solitons in the sphere

Marco Magliaro, Luciano Mari, Fernanda Roing +1

In this paper, we consider soliton solutions of the mean curvature flow in the unit sphere $S^{2 n + 1}$ moving along the integral curves of the Hopf unit vector field. While such sol…

math.DG2026

Harmonic maps from $S^{3}$ to $S^{2}$ and the rigidity of the Hopf fibration

Athanasios Georgakopoulos, Marco Magliaro, Luciano Mari +1

It was conjectured by Eells that the only harmonic maps $f : S^{3} \to S^{2}$ are Hopf fibrations composed with conformal maps of $S^{2}$ . We support this conjecture by proving its valid…

math.DG2025

Harmonic unit vector fields on 3-manifolds

Georges Habib, Andreas Savas-Halilaj

We investigate harmonic unit vector fields with totally geodesic integral curves on 3-manifolds. Under mild curvature assumptions, we classify both the vector fields and the manifo…

On mean curvature flow solitons in the sphere

Harmonic maps from S3 to S2 and the rigidity of the Hopf fibration

Harmonic unit vector fields on 3-manifolds

Harmonic maps from $S^{3}$ to $S^{2}$ and the rigidity of the Hopf fibration