A Structural Analysis of Warped Product Yamabe Gradient Solitons
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918202301218816 |
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| author | Chakraborti, Jahnabi Mangasuli, Anandateertha |
| author_facet | Chakraborti, Jahnabi Mangasuli, Anandateertha |
| contents | We investigate Yamabe gradient solitons, which are warped product manifolds. We show that the fiber of a nontrivial warped product Yamabe gradient soliton has constant scalar curvature. Based on this result, we obtain a specific class of warped products that cannot be nontrivial solitons. Furthermore, we derive estimates of the scalar curvature and the soliton function of warped product solitons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Structural Analysis of Warped Product Yamabe Gradient Solitons Chakraborti, Jahnabi Mangasuli, Anandateertha Differential Geometry 53C21, 53C25, 53C44 We investigate Yamabe gradient solitons, which are warped product manifolds. We show that the fiber of a nontrivial warped product Yamabe gradient soliton has constant scalar curvature. Based on this result, we obtain a specific class of warped products that cannot be nontrivial solitons. Furthermore, we derive estimates of the scalar curvature and the soliton function of warped product solitons. |
| title | A Structural Analysis of Warped Product Yamabe Gradient Solitons |
| topic | Differential Geometry 53C21, 53C25, 53C44 |
| url | https://arxiv.org/abs/2511.11620 |