In this paper, we mainly consider the stability of $ \Phi_{ S, F,H} $ harmonic map and $ \Phi_{ T,F,H} $ harmonic map from or into $ \Phi $-SSU manifold. We mainly consider the stability of $ \Phi_{ S, F,H} $ harmonic map and $ \Phi_{ T,F,H} $ harmonic map from or into compact convex hypersurface. We also give some Theorems to know when a manifold is $ \Phi_{ S, F,H} $ -stable or $ \Phi_{ S, F,H} $ -unstable.
Categories: math.DG