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

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 ${\mathbb{C}}^3$.

References in corpus (1)

• Generalized Killing spinors and Lagrangian graphs