Cohomogeneity One Special Lagrangian Submanifolds in the Deformed Conifold

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dc.creatorIonel, Marianty
dc.creatorMin-Oo, Maung
dc.date2005-04-27
dc.date.accessioned2026-07-07T05:19:26Z
dc.date.available2026-07-07T05:19:26Z
dc.descriptionIn this paper we describe the cohomogeneity one special Lagrangian 3-folds in the cotangent bundle of the 3-sphere, also known in the physics literature as a deformed conifold. Our main result gives a global foliation of the deformed conifold by T^2-invariant special Lagrangian 3-folds, where the generic leaf is topologically T^2 X R. In the limit, these special Lagrangians asymptotically approach a special Lagrangian cone on a torus in the conifold. Using moment map techniques we also recover the family of SO(n)-invariant special Lagrangian n-folds in the cotangent bundle of the n-sphere obtained by H. Anciaux.
dc.description22 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0504557
dc.identifierhttp://arxiv.org/abs/math/0504557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75021
dc.subjectDifferential Geometry
dc.subject53C38
dc.titleCohomogeneity One Special Lagrangian Submanifolds in the Deformed Conifold
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