Special Lagrangian Geometry in irreducible symplectic 4-folds
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0001060,
title = {Special Lagrangian Geometry in irreducible symplectic 4-folds},
author = {Alessandro Arsie},
journal= {arXiv preprint arXiv:math/0001060},
year = {2007}
}
Comments
9 pages