Special Lagrangians of cohomogeneity one in the resolved conifold
Differential Geometry
2007-05-23 v1
Abstract
In this paper, which is a natural continuation of our previous paper math.DG/0504557, we describe some special Lagrangians of cohomogeneity one in the resolved conifold. Our main result gives a foliation of the resolved conifold by T^2-invariant special Lagrangians, where the generic leaf is topologically T^2 X R. We also obtain a family of SO(3)-invariant special Lagrangians. These special Lagrangian families in both the deformed and the resolved conifold approach asymptotically the same special Lagrangian cones in the conifold.
Keywords
Cite
@article{arxiv.math/0506340,
title = {Special Lagrangians of cohomogeneity one in the resolved conifold},
author = {Marianty Ionel and Maung Min-Oo},
journal= {arXiv preprint arXiv:math/0506340},
year = {2007}
}
Comments
11 pages