F-HARMONIC MAPS AS GLOBAL MAXIMA

Mohammed Benalili (1) , Hafida Benallal (1)

1 Geometrie

In this note, we show that some F-harmonic maps into spheres are global maxima of the variations of their energy functional on the conformal group of the sphere. Our result extends partially those obtained in [15] and [17] for harmonic and p-harmonic maps.

Domaines: Géométrie différentielle [math.DG]

Mohammed Benalili, Hafida Benallal. F-HARMONIC MAPS AS GLOBAL MAXIMA. 2012. ⟨hal-00747787⟩