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Lightlike developables in Minkowski 3-space

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83931

Title: Lightlike developables in Minkowski 3-space
Authors: CHINO, Sachiko Browse this author
IZUMIYA, Shyuichi Browse this author
Keywords: Lightlike developables
Minkowski $3$-space
singularities
Issue Date: 7-Apr-2006
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 781
Start Page: 1
End Page: 11
Abstract: We say that a surface in Minkowski $3$-space is a {\it lightlike developable} if any pseudo-normal vector of the regular part of the surface is lightlike. We show that such a surface is a part of a lightlike plane, the lightcone, the tangent surface of a spacelike curve in a lightlike plane, the tangent surface of a lightlike curve or the glue of such surfaces. The most interesting surfaces in such the class of surfaces is the tangent surface of a lightlike curve. We give a classification of the singularities for the tangent surface of a generic lightlike curve. As a consequence, the $H_3$ type singularity appears in generic.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69589
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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