Special Lagrangian Geometry in irreducible symplectic 4-folds

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dc.creatorArsie, Alessandro
dc.date2000-01-11
dc.date.accessioned2026-07-07T04:33:17Z
dc.date.available2026-07-07T04:33:17Z
dc.descriptionHaving fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagrangian and that they are obtained by complex submanifolds via a sort of "hyperkaehler rotation trick"; thus they retain part of the rigidity of complex submanifolds: indeed all special Lagrangian submanifolds of X turn out to be real analytic.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0001060
dc.identifierhttp://arxiv.org/abs/math/0001060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58518
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C15 (Primary); 53A40, 51P05 (Secondary)
dc.titleSpecial Lagrangian Geometry in irreducible symplectic 4-folds
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