Counterexamples for Local Isometric Embedding

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dc.creatorNadirashvili, Nikolai
dc.creatorYuan, Yu
dc.date2002-08-16
dc.date.accessioned2026-07-07T04:50:16Z
dc.date.available2026-07-07T04:50:16Z
dc.descriptionWe construct smooth metrics on 2-manifold with nonpositive Gauss curvature which cannot be (C^3) locally isometrically embedded in R^3. Moreover, the Gauss curvature of the metric can be made negative except for one point.
dc.descriptionsubmitted
dc.identifierhttps://arxiv.org/abs/math/0208127
dc.identifierhttp://arxiv.org/abs/math/0208127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64731
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleCounterexamples for Local Isometric Embedding
dc.typetext

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