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タイトル
  • en Singularities of improper affine spheres and surfaces of constant Gaussian curvature
作成者
アクセス権 open access
権利情報
  • en copyright(c)2006 for World Scientific
主題
  • 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
内容注記
  • 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
出版者 en World Scientific
日付
    Issued2006-03
言語
  • eng
資源タイプ journal article
出版タイプ AM
資源識別子 HDL http://hdl.handle.net/2115/8512
関連
  • URI http://ejournals.wspc.com.sg/ijm/ijm.shtml
  • isVersionOf DOI https://doi.org/10.1142/S0129167X06003485
収録誌情報
    • PISSN 0129-167X
      • en International journal of mathematics
      • 17 3 開始ページ269 終了ページ293
ファイル
コンテンツ更新日時 2023-07-26