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BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS

Published online by Cambridge University Press:  25 February 2013

SHUN MAETA  and
HAJIME URAKAWA
SHUN MAETA
Affiliation:
Division of Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan e-mail: maeta@ims.is.tohoku.ac.jp
HAJIME URAKAWA
Affiliation:
Institute for International Education, Tohoku University, Sendai 980-8576, Japan e-mail: urakawa@math.is.tohoku.ac.jp
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Abstract

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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.

Keywords

Primary 58E20Secondary 53C43
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 2 , May 2013 , pp. 465 - 480
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013

References

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