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タイトル
  • Singularities of improper affine spheres and surfaces of constant Gaussian curvature
作成者

Ishikawa, Go-o

Machida, Yoshinori

権利情報
    • copyright(c)2006 for World Scientific
主題
  • Other Monge–Ampère equation
  • Other Lagrangian pair
  • Other geometric solution
  • Other cuspidal edge
  • Other swallowtail
  • Other open umbrella
  • NDC 410
内容注記
Other
  • 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World Scientific
日付 Issued 2006-03
言語eng
資源タイプjournal article
出版タイプAM
資源識別子 URI http://hdl.handle.net/2115/8512
関連
  • isIdenticalTo DOI https://doi.org/10.1142/S0129167X06003485
収録誌情報
    • ISSN 0129-167X
    • International journal of mathematics
    17(3), 269-293
ファイル
コンテンツ更新日時2012-02-06T10:50:00Z