Geometric and analytic results for Einstein solitons
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913309230366720 |
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| author | Agila, Enrique Fernando López Gomes, José Nazareno Vieira |
| author_facet | Agila, Enrique Fernando López Gomes, José Nazareno Vieira |
| contents | We compute a lower bound for the scalar curvature of a gradient Einstein soliton under a certain assumption on its potential function. We establish an asymptotic behavior of the potential function on a noncompact gradient shrinking Einstein soliton. As a result, we obtain the finiteness of its fundamental group and its weighted volume. We also prove some geometric and analytic results for constructing gradient Einstein solitons that are realized as warped metrics, and we give a few explicit examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01025 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Geometric and analytic results for Einstein solitons Agila, Enrique Fernando López Gomes, José Nazareno Vieira Differential Geometry Primary 53C21, 53C25, Secondary 53C15 We compute a lower bound for the scalar curvature of a gradient Einstein soliton under a certain assumption on its potential function. We establish an asymptotic behavior of the potential function on a noncompact gradient shrinking Einstein soliton. As a result, we obtain the finiteness of its fundamental group and its weighted volume. We also prove some geometric and analytic results for constructing gradient Einstein solitons that are realized as warped metrics, and we give a few explicit examples. |
| title | Geometric and analytic results for Einstein solitons |
| topic | Differential Geometry Primary 53C21, 53C25, Secondary 53C15 |
| url | https://arxiv.org/abs/2208.01025 |