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arXiv · 1907.06897

Lagrangian submanifolds of the nearly Kähler full flag manifold $F_{1,2}(\mathbb{C}^3)$

Reinier Storm
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Abstract

In this article the framework created by Cartan to produce local differential invariants for submanifolds of homogeneous spaces is applied to classify all totally geodesic Lagrangian submanifolds and all homogeneous Lagrangian submanifolds of the nearly Kähler manifold of full flags in $\mathbb{C}^3$.

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Reinier Storm. 2019-07-18. Lagrangian submanifolds of the nearly Kähler full flag manifold $F_{1,2}(\mathbb{C}^3)$. https://arxiv.org/abs/1907.06897

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