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arxiv: 1203.4092 · v2 · pith:5POE4566new · submitted 2012-03-19 · 🧮 math.DG

Biharmonic Lagrangian submanifolds in K\"ahler manifolds

classification 🧮 math.DG
keywords biharmoniclagrangianahlersubmanifoldsclassifycomplexconditionsforms
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We give necessary and sufficient conditions for a Lagrangian submanifold of a K\"ahler manifold to be biharmonic. Furthermore, we classify biharmonic PNMC Lagrangian submanifolds in the complex space forms.

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