Stability for $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T, F,H} $ harmonic map

Xiangzhi Cao

Stability for $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T, F,H} $ harmonic map

Differential Geometry 2025-10-14 v2

Authors: Xiangzhi Cao

Abstract

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.

Keywords

harmonic map stability phi-ssu manifold compact convex hypersurface phi-stable phi-unstable

Cite

@article{arxiv.2212.11731,
  title  = {Stability for $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T, F,H} $ harmonic map},
  author = {Xiangzhi Cao},
  journal= {arXiv preprint arXiv:2212.11731},
  year   = {2025}
}

Comments

I think this result in this paper is not worth to publish since it contain little new ideas, which needs to be improved in the future

Stability for $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T, F,H} $ harmonic map

Abstract

Keywords

Cite

Comments

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