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Lagrangian submanifolds of the nearly Kähler full flag manifold $F_{1,2}(\mathbb{C}^3)$ (1907.06897v2)

Published 16 Jul 2019 in math.DG

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 K\"ahler manifold of full flags in $\mathbb{C}3$.

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