Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2211.02814 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911779803627520 |
|---|---|
| author | Xu, Huiyang Li, Cece |
| author_facet | Xu, Huiyang Li, Cece |
| contents | In this paper, we study locally strongly convex affine hypersurfaces with vanishing Weyl curvature tensor and semi-parallel cubic form relative to the Levi-Civita connection of affine metric. As the main result, we classify such hypersurfaces being not of flat affine metric. In particular, $2, 3$-dimensional locally strongly convex affine hypersurfaces with semi-parallel cubic form are completely determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02814 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Conformally flat affine hypersurfaces with semi-parallel cubic form Xu, Huiyang Li, Cece Differential Geometry 53A15 In this paper, we study locally strongly convex affine hypersurfaces with vanishing Weyl curvature tensor and semi-parallel cubic form relative to the Levi-Civita connection of affine metric. As the main result, we classify such hypersurfaces being not of flat affine metric. In particular, $2, 3$-dimensional locally strongly convex affine hypersurfaces with semi-parallel cubic form are completely determined. |
| title | Conformally flat affine hypersurfaces with semi-parallel cubic form |
| topic | Differential Geometry 53A15 |
| url | https://arxiv.org/abs/2211.02814 |