Totally geodesic Lagrangian submanifolds of the pseudo-nearly K\'ahler $\mathrm{SL}(2,\mathbb{R})\times\mathrm{SL}(2,\mathbb{R})$
| Autor: | Anarella, Mateo, Van der Veken, Joeri |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we study Lagrangian submanifolds of the pseudo-nearly K\"ahler $\mathrm{SL}(2,\mathbb{R})\times\mathrm{SL}(2,\mathbb{R})$. First, we show that they split into four different classes depending on their behaviour with respect to a certain almost product structure on the ambient space. Then, we give a complete classification of totally geodesic Lagrangian submanifolds of this space. Comment: 23 pages, accepted for publication in Mathematische Nachrichten |
| Databáze: | arXiv |
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