Shun Maeta, Hajime Urakawa
Abstract
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We give necessary and sufficient conditions for a Lagrangian submanifold of a Kähler manifold to be biharmonic. Furthermore, we classify biharmonic PNMC Lagrangian submanifolds in the complex space forms.
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We give necessary and sufficient conditions for a Lagrangian submanifold of a Kähler manifold to be biharmonic. Furthermore, we classify biharmonic PNMC Lagrangian submanifolds in the complex space forms.
Key concepts: Biharmonic equation, Submanifold, Lagrangian, Mathematics, Manifold (fluid mechanics), Kähler manifold, Mathematical analysis, Pure mathematics