Random k-Surfaces

dc.creatorLabourie, Francois
dc.date2000-09-22
dc.date.accessioned2026-07-07T04:37:39Z
dc.date.available2026-07-07T04:37:39Z
dc.descriptionThe main result is the construction of ergodic transversal measures of full support on the space of all k-surfaces of a compact hyperbolic 3-manifold. This space is a laminated space, each of its leaf being identified with a "complete" k-surface, i.e. a surface of constant (extrinsic) curvature k, where k belongs to ]0,1[. Elsewhere, this space has been shown to have chaotic properties mimicking those of the geodesic flow. This construction is achieved through a coding of the space.
dc.description6 figures
dc.identifierhttps://arxiv.org/abs/math/0009205
dc.identifierhttp://arxiv.org/abs/math/0009205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59984
dc.subjectDifferential Geometry
dc.titleRandom k-Surfaces
dc.typetext

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