Energy identity and no neck property for $\varepsilon$-harmonic and $α$-harmonic maps into homogeneous target manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912895361613824 |
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| author | Bayer, Carolin Roberts, Andrew M. |
| author_facet | Bayer, Carolin Roberts, Andrew M. |
| contents | In this paper we show the energy identity and the no-neck property for $\varepsilon$- and $α$-harmonic maps with homogeneous target manifolds. To prove this in the $\varepsilon$-harmonic case we introduce the idea of using an equivariant embedding of the homogeneous target manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08451 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy identity and no neck property for $\varepsilon$-harmonic and $α$-harmonic maps into homogeneous target manifolds Bayer, Carolin Roberts, Andrew M. Differential Geometry Analysis of PDEs 58E20, 53C43 In this paper we show the energy identity and the no-neck property for $\varepsilon$- and $α$-harmonic maps with homogeneous target manifolds. To prove this in the $\varepsilon$-harmonic case we introduce the idea of using an equivariant embedding of the homogeneous target manifold. |
| title | Energy identity and no neck property for $\varepsilon$-harmonic and $α$-harmonic maps into homogeneous target manifolds |
| topic | Differential Geometry Analysis of PDEs 58E20, 53C43 |
| url | https://arxiv.org/abs/2502.08451 |