In this paper, we study Lagrangian submanifolds of the pseudo‐nearly Kähler SL(2,R)×SL(2,R)$\mathrm{SL}(2,\mathbb {R})\times \mathrm{SL}(2,\mathbb {R})$ . First, we show that they split into four different classes depending on their behavior… Click to show full abstract
In this paper, we study Lagrangian submanifolds of the pseudo‐nearly Kähler SL(2,R)×SL(2,R)$\mathrm{SL}(2,\mathbb {R})\times \mathrm{SL}(2,\mathbb {R})$ . First, we show that they split into four different classes depending on their behavior 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.
Keywords:
mathrm mathbb;
mathbb;
pseudo nearly;
submanifolds pseudo;
nearly hler;
lagrangian submanifolds
Journal Title: Mathematische Nachrichten
Year Published: 2024
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Journal Title: Mathematische Nachrichten
Year Published: 2024
Link to full text (if available)
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recommendations!