Singularities and Bifurcations of Pseudospherical Surfaces

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dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)
dc.bibliographicCitation.volume8
dc.contributor.authorBrander, David
dc.contributor.authorTari, Farid
dc.date.accessioned2024-10-16T16:53:59Z
dc.date.available2024-10-16T16:53:59Z
dc.date.issued2020
dc.description.abstractWe study singularities and bifurcations of constant negative curvature surfaces in Euclidean 3-space via their association with Lorentzian harmonic maps. This preprint presents the basic results on this, the full proofs of which will appear in an article under preparation. We show that the generic bifurcations in 1-parameter families of such surfaces are the Cuspidal Butterfly, Cuspidal Lips, Cuspidal Beaks, 2/5 Cuspidal edge and Shcherbak bifurcations.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16945
dc.identifier.urihttps://doi.org/10.34657/15967
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2020-08
dc.relation.issn1864-7596
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
dc.subject.ddc510
dc.subject.otherBifurcations
dc.subject.otherConstant Gauss curvature
dc.subject.otherCauchy problem
dc.subject.otherDifferential geoemtry
dc.subject.otherDiscriminants
dc.subject.otherFrontals
dc.subject.otherIntegrable systems
dc.subject.otherLoop groups
dc.subject.otherPseudospherical surfaces
dc.subject.otherPseudospherical surfaces
dc.subject.otherWave fronts
dc.subject.otherWave maps
dc.titleSingularities and Bifurcations of Pseudospherical Surfaces
dc.typeReport
dc.typeText
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