Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912605326540800 |
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| author | Qiu, Guohuan |
| author_facet | Qiu, Guohuan |
| contents | We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a hypersurface satisfies the scalar curvature equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_07791 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three Qiu, Guohuan Analysis of PDEs Differential Geometry We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a hypersurface satisfies the scalar curvature equation. |
| title | Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/1901.07791 |