Structure of generalized Yamabe solitons and its applications
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913357265633280 |
|---|---|
| author | Maeta, Shun |
| author_facet | Maeta, Shun |
| contents | We consider the broadest concept of the gradient Yamabe soliton, the conformal gradient soliton. In this paper, we elucidate the structure of complete gradient conformal solitons under some assumption, and provide some applications to gradient Yamabe solitons. These results enhance the understanding gained from previous research. Furthermore, we give an affirmative partial answer to the Yamabe soliton version of Perelman's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_09162 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Structure of generalized Yamabe solitons and its applications Maeta, Shun Differential Geometry 53C21, 53C25, 53C20 We consider the broadest concept of the gradient Yamabe soliton, the conformal gradient soliton. In this paper, we elucidate the structure of complete gradient conformal solitons under some assumption, and provide some applications to gradient Yamabe solitons. These results enhance the understanding gained from previous research. Furthermore, we give an affirmative partial answer to the Yamabe soliton version of Perelman's conjecture. |
| title | Structure of generalized Yamabe solitons and its applications |
| topic | Differential Geometry 53C21, 53C25, 53C20 |
| url | https://arxiv.org/abs/2208.09162 |