Modified mean curvature flow of graphs in Riemannian manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918334373560320 |
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| author | de Oliveira, Jocel Faustino Norberto de Lira, Jorge Herbert Soares Soares, Matheus Nunes |
| author_facet | de Oliveira, Jocel Faustino Norberto de Lira, Jorge Herbert Soares Soares, Matheus Nunes |
| contents | We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we prove the existence of smooth, entire, longtime solutions for this extrinsic flow with smooth initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11930 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modified mean curvature flow of graphs in Riemannian manifolds de Oliveira, Jocel Faustino Norberto de Lira, Jorge Herbert Soares Soares, Matheus Nunes Differential Geometry 53C42, 58J35, 53E10 We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we prove the existence of smooth, entire, longtime solutions for this extrinsic flow with smooth initial data. |
| title | Modified mean curvature flow of graphs in Riemannian manifolds |
| topic | Differential Geometry 53C42, 58J35, 53E10 |
| url | https://arxiv.org/abs/2602.11930 |