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Generating families of developable surfaces in R3

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83658

Title: Generating families of developable surfaces in R3
Authors: Izumiya, S. Browse this author
Keywords: developable surfaces
generic property
singularities
Issue Date: 1-Jan-2001
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 512
Start Page: 1
End Page: 18
Abstract: The developable surface in JR.3 has the unique (singular or non-singular) Legendrian lift to the projective cotangent bundle on JR.3 • In this paper we show that the converse assertion holds for singular rule<:! surfaces. We call such a surface a ruled front. We give an explicit form of the generating family of the Legendrian lift of a developable surface ( a ruled front) and study singularities and their stability.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69262
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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