Some families of special Lagrangian tori

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dc.creatorMatessi, Diego
dc.date2000-11-09
dc.date.accessioned2026-07-07T04:38:31Z
dc.date.available2026-07-07T04:38:31Z
dc.descriptionWe give a simple proof of the local version of a result of R. Bryant, stating that any 3-dimensional Riemannian manifold can be isometrically embedded as a special Lagrangian submanifold in a Calabi-Yau manifold. We refine the theorem proving that a certain class of one-parameter families of metrics on a 3-torus can be isometrically embedded in a Calabi-Yau manifold as a one-parameter family of special Lagrangian submanifolds. We use our examples of one-parameter families to show that the semi-flat metric on the mirror manifold proposed be N. Hitchin is not necessarily Ricci-flat in dimension 3.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0011061
dc.identifierhttp://arxiv.org/abs/math/0011061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60310
dc.subjectDifferential Geometry
dc.subject53CXX
dc.titleSome families of special Lagrangian tori
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