Generalized Hopf constructions and eigenmaps between spheres.
Complete lifts of harmonic maps and morphisms between Euclidean spaces.
Classifications of some special infinity-harmonic maps.
A classification and some constructions of -harmonic morphisms.
Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition 3.1) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford systems and those of O-systems, and between O-systems and orthogonal multiplications of the form , which allow us to solve the existence problems both for -systems and for umbilical quadratic harmonic morphisms simultaneously. The existence problem for general quadratic harmonic morphisms is then solved by the Splitting Lemma. We also study properties...
Page 1