IJPAM: Volume 30, No. 3 (2006)
SPECIAL LAGRANGIAN MANIFOLDS OBTAINED
FROM COMPLEX GRASSMANNIANS
FROM COMPLEX GRASSMANNIANS
A. Ben Abdesselem
, P. Cabau
Institut de Mathématiques de Jussieu (UMR 7586)
Université Pierre et Marie Curie
Case 247 - 4, Place Jussieu
Paris Cedex, 75252, FRANCE
e-mail: benabdes@math.jussieu.fr
Laboratoire d'Ingénierie Mathématique
Ecole Polytechnique de Tunisie
La Marsa, 2070, TUNISIA
e-mail: patrickcabau@yahoo.fr
, P. Cabau
Institut de Mathématiques de Jussieu (UMR 7586)
Université Pierre et Marie Curie
Case 247 - 4, Place Jussieu
Paris Cedex, 75252, FRANCE
e-mail: benabdes@math.jussieu.fr
Laboratoire d'Ingénierie Mathématique
Ecole Polytechnique de Tunisie
La Marsa, 2070, TUNISIA
e-mail: patrickcabau@yahoo.fr
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 
-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.
Received: June 11, 2006
AMS Subject Classification: 53C42, 53D12
Key Words and Phrases: special Lagrangian submanifolds, Chern classes
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 3
