1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
The biharmonicity of sections of the tangent bundle
Michael Markellos, Hajime Urakawa
The bienergy of a vector field on a Riemannian manifold (M,g) is defined to be the bienergy of the corresponding map (M,g) ---> (TM,g_S), where the tangent bundle TM is equipped wi…