Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds

Lars Schäfer, Knut Smoczyk

We show that Lagrangian submanifolds in six-dimensional nearly Kähler (non Kähler) manifolds and in twistor spaces $Z\sp{4n+2}$ over quaternionic Kähler manifolds $Q\sp{4n}$ are mi…