3 papers
math.DG2022
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…
math.DG2021
Rigidity of the Hopf fibration
Michael Markellos, Andreas Savas-Halilaj
In this paper, we study minimal maps between euclidean spheres. The Hopf fibrations provide explicit examples of such minimal maps. Moreover, their corresponding graphs have second…
math.DG2018
The biharmonic homotopy problem for unit vector fields on 2-tori
E. Loubeau, M. Markellos
The bienergy of smooth maps between Riemannian manifolds, when restricted to unit vector fields, yields two different variational problems depending on whether one takes the full f…