CR Yamabe constant and inequivalent CR structures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866908306171232256 |
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| author | Sung, Chanyoung Takeuchi, Yuya |
| author_facet | Sung, Chanyoung Takeuchi, Yuya |
| contents | The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe constant. We also construct an infinite-dimensional family of strongly pseudoconvex CR structures with varying CR Yamabe constants and a compact simply-connected manifold admitting two strongly pseudoconvex CR structures with different signs of the CR Yamabe constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_16443 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | CR Yamabe constant and inequivalent CR structures Sung, Chanyoung Takeuchi, Yuya Differential Geometry Complex Variables 32V20, 32V05, 57K43 The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe constant. We also construct an infinite-dimensional family of strongly pseudoconvex CR structures with varying CR Yamabe constants and a compact simply-connected manifold admitting two strongly pseudoconvex CR structures with different signs of the CR Yamabe constant. |
| title | CR Yamabe constant and inequivalent CR structures |
| topic | Differential Geometry Complex Variables 32V20, 32V05, 57K43 |
| url | https://arxiv.org/abs/2210.16443 |