Special Lagrangians of cohomogeneity one in the resolved conifold

Details Special Lagrangians of cohomogeneity one in the resolved conifold Special Lagrangians of cohomogeneity one in the resolved conifold

2005-06-16

arxiv.org/abs/math/0506340v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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.

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