English

Biharmonic Lagrangian submanifolds in K\"ahler manifolds

Differential Geometry 2012-04-10 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1203.4092,
  title  = {Biharmonic Lagrangian submanifolds in K\"ahler manifolds},
  author = {Shun Maeta and Hajime Urakawa},
  journal= {arXiv preprint arXiv:1203.4092},
  year   = {2012}
}

Comments

13 pages