Special Lagrangian Curvature

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dc.creatorSmith, Graham
dc.date2005-06-13
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:32Z
dc.date.available2026-07-07T09:50:32Z
dc.descriptionWe define the notion of special Lagrangian curvature, showing how it may be interpreted as an alternative higher dimensional generalisation of two dimensional Gaussian curvature. We obtain first a local rigidity result for this curvature when the ambiant manifold has negative sectional curvature. We then show how this curvature relates to the canonical special Legendrian structure of spherical subbundles of the tangent bundle of the ambiant manifold. This allows us to establish a strong compactness result. In the case where the special Lagrangian angle equals $(n-1)π/2$, we obtain compactness modulo a unique mode of degeneration, where a sequence of hypersurfaces wraps ever tighter round a geodesic.
dc.descriptionShortened, simplified, new introduction, new title
dc.identifierhttps://arxiv.org/abs/math/0506230
dc.identifierhttp://arxiv.org/abs/math/0506230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164970
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53C42; 35J60; 58G03; 53C38
dc.titleSpecial Lagrangian Curvature
dc.typetext

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