Special Lagrangian Geometry in irreducible symplectic 4-folds
Arsie, Alessandro
arXiv, 0001060 / Harvested from arXiv
Text on arXiv
Having fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagrangian and that they are obtained by complex submanifolds via a sort of "hyperkaehler rotation trick"; thus they retain part of the rigidity of complex submanifolds: indeed all special Lagrangian submanifolds of X turn out to be real analytic.
Publié le : 2000-01-11
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C15 (Primary),  53A40, 51P05 (Secondary) 
@article{0001060,
     author = {Arsie, Alessandro},
     title = {Special Lagrangian Geometry in irreducible symplectic 4-folds},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0001060}
}

Arsie, Alessandro. Special Lagrangian Geometry in irreducible symplectic 4-folds. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0001060/