Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914015358222336 |
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| author | Chang, Shu-Cheng Qiu, Hongbing |
| author_facet | Chang, Shu-Cheng Qiu, Hongbing |
| contents | We establish integral curvature estimates for complete gradient shrinking Sasaki-Ricci solitons. As an application, we show that any such soliton with harmonic Weyl tensor must be a finite quotient of a sphere. This result can be regarded as the Sasaki analogue of the work of Munteanu and Sesum [15] on Ricci solitons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor Chang, Shu-Cheng Qiu, Hongbing Differential Geometry We establish integral curvature estimates for complete gradient shrinking Sasaki-Ricci solitons. As an application, we show that any such soliton with harmonic Weyl tensor must be a finite quotient of a sphere. This result can be regarded as the Sasaki analogue of the work of Munteanu and Sesum [15] on Ricci solitons. |
| title | Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.01100 |