Stability for $ F $ harmonic map with two form and potential versus Stability for $ F $ symphonic map with potential

TL;DR

This paper investigates the stability properties of various classes of $F$-harmonic and $F$-symphonic maps with potential into different types of manifolds, including pinched and $ ext{SSU}$ manifolds.

Contribution

It provides new stability results for $F$-harmonic and $F$-symphonic maps with potential into specific geometric manifolds.

Findings

Stability criteria established for $F$-harmonic maps with $m$-form and potential.

Stability analysis of $F$-symphonic maps with potential into compact $ ext{SSU}$ manifolds.

Results on stability of $F$-symphonic maps with potential into pinched manifolds.

Abstract

In this paper, we consider the stability of $ F $-harmonic map with $ m $-form and potential into pinched manifold. We also consider the stability of $ F $-symphonic map with potential form or into compact $\Phi$-SSU manifold. We also consider the stability of $ F $-symphonic map with potential into pinched manifold.