A class of new complete affine maximal type hypersurfaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913801911140352 |
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| author | Sun, Yalin Xu, Ruiwei |
| author_facet | Sun, Yalin Xu, Ruiwei |
| contents | In this paper we classify a kind of special Calabi hypersurfaces with negative constant sectional curvature in Calabi affine geometry. Meanwhile, we find a class of new Euclidean complete and Calabi complete affine hypersurfaces, which satisfy the affine maximal type equation and the Abreu equation with negative constant scalar curvatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of new complete affine maximal type hypersurfaces Sun, Yalin Xu, Ruiwei Differential Geometry Primary 53A15, Secondary 35J60, 53C24 In this paper we classify a kind of special Calabi hypersurfaces with negative constant sectional curvature in Calabi affine geometry. Meanwhile, we find a class of new Euclidean complete and Calabi complete affine hypersurfaces, which satisfy the affine maximal type equation and the Abreu equation with negative constant scalar curvatures. |
| title | A class of new complete affine maximal type hypersurfaces |
| topic | Differential Geometry Primary 53A15, Secondary 35J60, 53C24 |
| url | https://arxiv.org/abs/2501.08525 |