Extremal metrics involving scalar curvature
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914449515872256 |
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| author | Hamanaka, Shota |
| author_facet | Hamanaka, Shota |
| contents | We investigate extremal metrics at which various types of rigidity theorems involving scalar curvatures hold. The rigidity we discuss here is related to the rigidity theorems presented by Mario Listing in his previous preprint. More specifically, we give some sufficient conditions for metrics not to be rigid in this sense. We also give several examples of Riemannian manifolds that satisfy such sufficient conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremal metrics involving scalar curvature Hamanaka, Shota Differential Geometry 53C20, 53C24 We investigate extremal metrics at which various types of rigidity theorems involving scalar curvatures hold. The rigidity we discuss here is related to the rigidity theorems presented by Mario Listing in his previous preprint. More specifically, we give some sufficient conditions for metrics not to be rigid in this sense. We also give several examples of Riemannian manifolds that satisfy such sufficient conditions. |
| title | Extremal metrics involving scalar curvature |
| topic | Differential Geometry 53C20, 53C24 |
| url | https://arxiv.org/abs/2504.06547 |