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Title
  • en Singularities of tangent surfaces to directed curves
Creator
Accessrights open access
Rights
  • en ©2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
  • http://creativecommons.org/licenses/by-nc-nd/4.0/
  • en Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Subject
  • Other en Affine connection
  • Other en Geodesic
  • Other en Frontal
  • Other en Open swallowtail
  • NDC 410
Description
  • Abstract en A directed curve is a possibly singular curve with well-defined tangent lines along the curve. Then the tangent surface to a directed curve is naturally defined as the ruled surface by tangent geodesics to the curve, whenever any affine connection is endowed with the ambient space. In this paper the local diffeomorphism classification is completed for generic directed curves. Then it turns out that the swallowtails and open swallowtails appear generically for the classification on singularities of tangent surfaces. (C) 2017 Elsevier B.V. All rights reserved.
Publisher en Elsevier
Date
    Issued2018-02-01
Language
  • eng
Resource Type journal article
Version Type AM
Identifier HDL http://hdl.handle.net/2115/76172
Relation
  • isVersionOf DOI https://doi.org/10.1016/j.topol.2017.11.018
Journal
    • PISSN 0166-8641
      • en Topology and its applications
      • Volume Number234 Page Start198 Page End208
File
Oaidate 2023-07-26