Conformal metrics of the ball with constant $σ_k$-curvature and constant boundary mean curvature
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913782843834368 |
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| author | Chen, Xuezhang Wei, Wei |
| author_facet | Chen, Xuezhang Wei, Wei |
| contents | On the upper hemisphere, we use the Obata-Escobar argument to classify conformal metrics with constant $σ_k$ curvature and constant boundary mean curvature in all types of cones including positive and negative cones. This extends a result of Escobar in \cite{Es} for $k=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conformal metrics of the ball with constant $σ_k$-curvature and constant boundary mean curvature Chen, Xuezhang Wei, Wei Differential Geometry Analysis of PDEs On the upper hemisphere, we use the Obata-Escobar argument to classify conformal metrics with constant $σ_k$ curvature and constant boundary mean curvature in all types of cones including positive and negative cones. This extends a result of Escobar in \cite{Es} for $k=1$. |
| title | Conformal metrics of the ball with constant $σ_k$-curvature and constant boundary mean curvature |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2504.04515 |