A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries
A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries
We show a method to construct a special Lagrangian submanifold $L^\prime$ from a given special Lagrangian submanifold $L$ in a Calabi-Yau manifold with the use of generalized perpendicular symmetries. We use moment maps of the actions of Lie groups, which are not necessarily abelian. By our method, we construct some …