Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911565634076672 |
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| author | Maeta, Shun |
| author_facet | Maeta, Shun |
| contents | In this paper, we rigorously analyze the scalar curvature of complete expanding gradient Yamabe solitons. We completely classify nontrivial complete expanding gradient Yamabe solitons in both cases: when the scalar curvature is greater than the soliton constant and when it is less than the soliton constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11789 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons Maeta, Shun Differential Geometry 53C21, 53C25, 53C20 In this paper, we rigorously analyze the scalar curvature of complete expanding gradient Yamabe solitons. We completely classify nontrivial complete expanding gradient Yamabe solitons in both cases: when the scalar curvature is greater than the soliton constant and when it is less than the soliton constant. |
| title | Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons |
| topic | Differential Geometry 53C21, 53C25, 53C20 |
| url | https://arxiv.org/abs/2412.11789 |