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# Lightlike surfaces of spacelike curves in de Sitter 3-space

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 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