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- W2952072762 abstract "We 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 $(n-1)pi/2$, we obtain compactness modulo a unique mode of degeneration, where a sequence of hypersurfaces wraps ever tighter round a geodesic." @default.
- W2952072762 created "2019-06-27" @default.
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- W2952072762 date "2005-06-13" @default.
- W2952072762 modified "2023-09-27" @default.
- W2952072762 title "Special Lagrangian Curvature" @default.
- W2952072762 hasPublicationYear "2005" @default.
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