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Lightlike surfaces of spacelike curves in de Sitter 3-space

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83934

Title: Lightlike surfaces of spacelike curves in de Sitter 3-space
Authors: FUSHO, Takesi Browse this author
IZUMIYA, Shyuichi Browse this author
Keywords: de Sitter space
lightlike surface
spacelike curves
lightcone
Issue Date: 14-Apr-2006
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 784
Start Page: 1
End Page: 10
Abstract: The Lorentzian space form with the positive curvature is called de Sitter space which is an important subject in the theory of relativity. In this paper we consider spacelike curves in de Sitter $3$-space. We define the notion of lightlike surfaces of spacelike curves in de Sitter $3$-space. We investigate the geometric meanings of the singularities of such surfaces.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69592
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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