Notes on the uniqueness of Type II Yamabe metrics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918067531939840 |
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| author | Hamanaka, Shota Ho, Pak Tung |
| author_facet | Hamanaka, Shota Ho, Pak Tung |
| contents | In this paper, we study the uniqueness of type II Yamabe metrics in conformal classes on a compact connected manifold with boundary, and we investigate Obata-type theorems for type II Yamabe metrics. In particular, we establish a theorem which gives a sufficient condition for a metric to be the unique Type II Yamabe metric in its conformal class. We also prove the corresponding theorem for the CR Yamabe problem on closed manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on the uniqueness of Type II Yamabe metrics Hamanaka, Shota Ho, Pak Tung Differential Geometry Primary, 53C18 Secondary, 53C21, 58J32 In this paper, we study the uniqueness of type II Yamabe metrics in conformal classes on a compact connected manifold with boundary, and we investigate Obata-type theorems for type II Yamabe metrics. In particular, we establish a theorem which gives a sufficient condition for a metric to be the unique Type II Yamabe metric in its conformal class. We also prove the corresponding theorem for the CR Yamabe problem on closed manifolds. |
| title | Notes on the uniqueness of Type II Yamabe metrics |
| topic | Differential Geometry Primary, 53C18 Secondary, 53C21, 58J32 |
| url | https://arxiv.org/abs/2506.17876 |