On the Yamabe constants of product manifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909881666109440 |
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| author | Sung, Chanyoung |
| author_facet | Sung, Chanyoung |
| contents | By using the fiberwise spherical symmetrization we give a comparison theorem of Yamabe constants on warped products and prove the existence of radially-symmetric Yamabe minimizers on Riemannian manifolds given by products with round spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Yamabe constants of product manifolds Sung, Chanyoung Differential Geometry 53C21, 58E99 By using the fiberwise spherical symmetrization we give a comparison theorem of Yamabe constants on warped products and prove the existence of radially-symmetric Yamabe minimizers on Riemannian manifolds given by products with round spheres. |
| title | On the Yamabe constants of product manifolds |
| topic | Differential Geometry 53C21, 58E99 |
| url | https://arxiv.org/abs/2511.00398 |