A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911115435311104 |
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| author | Gomes, José N. V. Hudson, Matheus Yamamoto, Hikaru |
| author_facet | Gomes, José N. V. Hudson, Matheus Yamamoto, Hikaru |
| contents | We give an application of a Huisken monotonicity-type formula for the mean curvature flow in a compact smooth manifold with a Riemannian metric that evolves by a shrinking self-similar solution of the extended Ricci flow. Our investigation builds on previous articles by Huisken and the third author as we apply their techniques to establish new results in this geometric setting. Moreover, under some natural geometric assumptions, the noncompact case is also solved |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background Gomes, José N. V. Hudson, Matheus Yamamoto, Hikaru Differential Geometry 53E10, 53E20 We give an application of a Huisken monotonicity-type formula for the mean curvature flow in a compact smooth manifold with a Riemannian metric that evolves by a shrinking self-similar solution of the extended Ricci flow. Our investigation builds on previous articles by Huisken and the third author as we apply their techniques to establish new results in this geometric setting. Moreover, under some natural geometric assumptions, the noncompact case is also solved |
| title | A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background |
| topic | Differential Geometry 53E10, 53E20 |
| url | https://arxiv.org/abs/2412.19939 |