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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2601.02733 |
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| _version_ | 1866908749629751296 |
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| author | Anarella, Mateo Cheng, Xiuxiu D'haene, Marie Hu, Zejun Vrancken, Luc |
| author_facet | Anarella, Mateo Cheng, Xiuxiu D'haene, Marie Hu, Zejun Vrancken, Luc |
| contents | We give a detailed description of the nearly Kähler $\frac{\mathrm{SL}(3,\mathbb R)}{\mathbb R\times \mathrm{SO}(2)}$, which is one of the pseudo-Riemannian counterparts of the flag manifold $F(\mathbb{C}^3)$. The main result is the classification of totally geodesic almost complex surfaces in this space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02733 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Almost complex totally geodesic surfaces in the nearly Kähler $\frac{\text{SL}(3,\mathbb R)}{\mathbb R\times \text{SO}(2)}$ Anarella, Mateo Cheng, Xiuxiu D'haene, Marie Hu, Zejun Vrancken, Luc Differential Geometry 53C42 We give a detailed description of the nearly Kähler $\frac{\mathrm{SL}(3,\mathbb R)}{\mathbb R\times \mathrm{SO}(2)}$, which is one of the pseudo-Riemannian counterparts of the flag manifold $F(\mathbb{C}^3)$. The main result is the classification of totally geodesic almost complex surfaces in this space. |
| title | Almost complex totally geodesic surfaces in the nearly Kähler $\frac{\text{SL}(3,\mathbb R)}{\mathbb R\times \text{SO}(2)}$ |
| topic | Differential Geometry 53C42 |
| url | https://arxiv.org/abs/2601.02733 |