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Title
  • en Singularities of improper affine spheres and surfaces of constant Gaussian curvature
Creator
Accessrights open access
Rights
  • en copyright(c)2006 for World Scientific
Subject
  • Other en Monge–Ampère equation
  • Other en Lagrangian pair
  • Other en geometric solution
  • Other en cuspidal edge
  • Other en swallowtail
  • Other en open umbrella
  • NDC 410
Description
  • Abstract en We study the equation for improper (parabolic) affine spheres from the view point of contact geometry and provide the generic classification of singularities appearing in geometric solutions to the equation as well as their duals. We also show the results for surfaces of constant Gaussian curvature and for developable surfaces. In particular we confirm that generic singularities appearing in such a surface are just cuspidal edges and swallowtails
Publisher en World Scientific
Date
    Issued2006-03
Language
  • eng
Resource Type journal article
Version Type AM
Identifier HDL http://hdl.handle.net/2115/8512
Relation
  • URI http://ejournals.wspc.com.sg/ijm/ijm.shtml
  • isVersionOf DOI https://doi.org/10.1142/S0129167X06003485
Journal
    • PISSN 0129-167X
      • en International journal of mathematics
      • Volume Number17 Issue Number3 Page Start269 Page End293
File
Oaidate 2023-07-26