Some properties of F-harmonic maps

Abstract

In this note, we investigate estimates of the Morse index for F -harmonic maps into spheres, our results extend partially those obtained in ([14]) and ([15]) for harmonic and p-harmonic maps.2000 Mathematics Subject Classification. Primary 58E20, 53C43.

$$F$$ -harmonic maps as global maxima

“…Extensions to the notions of p-harmonic, biharmonic, F -harmonic and f -harmonic maps were introduced and similar research has been carried out (see [1], [2], [3], [7], [15], [18], [21], [23]). Harmonic maps were applied to broad areas in sciences and engineering including the robot mechanics ( see [5], [8], [9] ).The concept of F -harmonic maps unifies the notions of harmonic maps, p-harmonic maps, minimal hypersurfaces. An important tool for studying stability of stability of F harmonic maps is the stress-energy tensor.…”