Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds

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dc.creatorSchäfer, Lars
dc.creatorSmoczyk, Knut
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:57Z
dc.date.available2026-07-07T13:07:57Z
dc.descriptionWe 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 minimal. Moreover, we will prove that any Lagrangian submanifold $L$ in a nearly Kähler manifold $M$ splits into a product of two Lagrangian submanifolds for which one factor is Lagrangian in the strict nearly Kähler part of $M$ and the second factor is Lagrangian in the Kähler part of $M$. Using this splitting theorem we then describe Lagrangian submanifolds in nearly Kähler manifolds of dimensions six, eight and ten.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0904.3683
dc.identifierhttp://arxiv.org/abs/0904.3683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228262
dc.subjectDifferential Geometry
dc.subject53C42; 53C15; 32Q60
dc.titleDecomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds
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