Title |
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Singularities of improper affine spheres and surfaces of constant Gaussian curvature
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Creator |
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Accessrights |
open access |
Rights |
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copyright(c)2006 for World Scientific
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Subject |
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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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Description |
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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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Publisher |
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World Scientific
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
AM |
Identifier |
HDL
http://hdl.handle.net/2115/8512
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Relation |
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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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Journal |
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International journal of mathematics
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Volume Number17
Issue Number3
Page Start269
Page End293
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File |
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Oaidate |
2023-07-26 |