Special Lagrangian Cones
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
We study special Lagrangian cones in with isolated singularities. Our main result constructs an infinite family of special Lagrangian cones in each of which has a toroidal link. We obtain a detailed geometric description of these tori. We prove a regularity result for special Lagrangian cones in with a spherical link -- any such cone must be a plane. We also construct a one-parameter family of asymptotically conical special Lagrangian submanifolds from any special Lagrangian cone.
Cite
@article{arxiv.math/0005164,
title = {Special Lagrangian Cones},
author = {Mark Haskins},
journal= {arXiv preprint arXiv:math/0005164},
year = {2007}
}
Comments
21 pages