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The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space

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Title: The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
Authors: IZUMIYA, SHYUICHI1 Browse this author →KAKEN DB
PEI, DONGHE Browse this author
SANO, TAKASI Browse this author
Authors(alt): 泉屋, 周一1
Issue Date: 2000
Publisher: Cambridge University Press
Journal Title: Glasgow Mathematical Journal
Volume: 42
Start Page: 75
End Page: 89
Publisher DOI: 10.1017/S0017089500010107
Abstract: We define the notion of lightcone Gauss maps, lightcone pedal curves and lightcone developables of spacelike curves in Minkowski 3-space and establish the relationships between singularities of these objects and geometric invariants of curves under the action of the Lorentz group.
Rights: Copyright © 2000 Cambridge University Press
Type: article
URI: http://hdl.handle.net/2115/5912
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 泉屋 周一

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