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Glasgow Mathematical Journal (1)

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BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS
SHUN MAETA, HAJIME URAKAWA
Journal:

Glasgow Mathematical Journal / Volume 55 / Issue 2 / May 2013

Published online by Cambridge University Press:

25 February 2013, pp. 465-480

Print publication:

May 2013
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We give the necessary and sufficient conditions for Lagrangian submanifolds in Kähler manifolds to be biharmonic. We classify biharmonic PNMC Lagrangian H-umbilical submanifolds in the complex space forms. Furthermore, we classify biharmonic PNMC Lagrangian surfaces in the two-dimensional complex space forms.