On stability of exponentially subelliptic harmonic maps
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916571795947520 |
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| author | Huang, Xin |
| author_facet | Huang, Xin |
| contents | In this paper, we study the stability problem of exponentially subelliptic harmonic maps from sub-Riemannian manifolds to Riemannian manifolds. We derive the rst and second variation formulas for exponentially subelliptic harmonic maps, and apply these formulas to prove that if the target manifold has nonpositive curvature, the exponentially subelliptic harmonic map is stable. Further, we obtain the instability of exponentially subelliptic harmonic maps when the target manifold is a sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On stability of exponentially subelliptic harmonic maps Huang, Xin Differential Geometry In this paper, we study the stability problem of exponentially subelliptic harmonic maps from sub-Riemannian manifolds to Riemannian manifolds. We derive the rst and second variation formulas for exponentially subelliptic harmonic maps, and apply these formulas to prove that if the target manifold has nonpositive curvature, the exponentially subelliptic harmonic map is stable. Further, we obtain the instability of exponentially subelliptic harmonic maps when the target manifold is a sphere. |
| title | On stability of exponentially subelliptic harmonic maps |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.10744 |