Some properties of F-harmonic maps
Mohammed Benalili, Hafida Benallal
TL;DR
This paper studies the Morse index estimates for F-harmonic maps into spheres, extending previous results for harmonic and p-harmonic maps to a broader class.
Contribution
It provides new estimates for the Morse index of F-harmonic maps, generalizing earlier findings for harmonic and p-harmonic cases.
Findings
Extended Morse index estimates for F-harmonic maps.
Partial generalization of harmonic map results.
Insights into stability 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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology