10 citations · 46 across the 21 of their papers we have counts for
25 papers
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…
Harmonic maps from to and the rigidity of the Hopf fibration
Athanasios Georgakopoulos, Marco Magliaro, Luciano Mari +1
It was conjectured by Eells that the only harmonic maps are Hopf fibrations composed with conformal maps of . We support this conjecture by proving its valid…
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 moving along the integral curves of the Hopf unit vector field. While such sol…
Sharp pinching theorems for complete submanifolds in the sphere
Marco Magliaro, Luciano Mari, Fernanda Roing +1
We prove that every complete, minimally immersed submanifold whose second fundamental form satisfies , is either totally geodesi…
Conformal solitons for the mean curvature flow in hyperbolic space
Luciano Mari, Jose Danuso Rocha de Oliveira, Andreas Savas-Halilaj +1
In this paper we study conformal solitons for the mean curvature flow in hyperbolic space . Working in the upper half-space model, we focus on horo-expanders, whi…
Gauss maps of harmonic and minimal great circle fibrations
Ioannis Fourtzis, Michael Markellos, Andreas Savas-Halilaj
We investigate Gauss maps associated to great circle fibrations of . We show that the associated Gauss map to such a fibration is harmonic (respectively minimal) if and only i…