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Special Lagrangian manifolds obtained from complex Grassmannians

Differential Geometry 2007-05-23 v1

Abstract

This paper gives an example of special Lagrangian manifold obtained from a hypersurface of a complex Grassmannian with vanishing first Chern class. The obtained manifold is a 1-torus bundle over the two dimensional real projective space. Such manifolds are interesting for mirror symmetry theory. Other examples of the same type are provided at the end of this article.

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Cite

@article{arxiv.math/0605389,
  title  = {Special Lagrangian manifolds obtained from complex Grassmannians},
  author = {A. Ben Abdesselem and P. Cabau},
  journal= {arXiv preprint arXiv:math/0605389},
  year   = {2007}
}

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9 pages