Special Lagrangians of cohomogeneity one in the resolved conifold

2005/06/16 by Marianty Ionel, Ionel, Marianty, Maung Min-Oo +1
Mathematics · #53C38 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C38

paper · pdf · doi:10.48550/arxiv.math/0506340

11 pages

arxiv created 2005/06/16 · arxiv updated 2009/12/01

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 T²-invariant special Lagrangians, where the generic leaf is topologically T² 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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