タイトル |
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Singularities of improper affine spheres and surfaces of constant Gaussian curvature
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作成者 |
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アクセス権 |
open access |
権利情報 |
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copyright(c)2006 for World Scientific
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主題 |
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Other
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Monge–Ampère equation
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Other
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Lagrangian pair
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Other
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geometric solution
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Other
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cuspidal edge
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Other
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swallowtail
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Other
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open umbrella
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NDC
410
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内容注記 |
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Abstract
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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
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出版者 |
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World Scientific
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日付 |
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言語 |
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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
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関連 |
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URI
http://ejournals.wspc.com.sg/ijm/ijm.shtml
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isVersionOf
DOI
https://doi.org/10.1142/S0129167X06003485
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収録誌情報 |
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International journal of mathematics
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巻17
号3
開始ページ269
終了ページ293
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ファイル |
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コンテンツ更新日時 |
2023-07-26 |