Folding maps on spacelike and timelike surfaces and duality


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/44881

Title:	Folding maps on spacelike and timelike surfaces and duality
Authors:	Izumiya, Shyuichi Browse this author
	Takahashi, Masatomo Browse this author
	Tari, Farid Browse this author
Issue Date:	Sep-2010
Publisher:	Department of Mathematics, Graduate School of Science, Osaka University
Journal Title:	Osaka Journal of Mathematics
Volume:	47
Issue:	3
Start Page:	839
End Page:	862
Abstract:	We study the reflectional symmetry of a generically embedded 2-dimensional surface M in the hyperbolic or de Sitter 3-dimensional spaces. This symmetry is picked up by the singularities of folding maps that are defined and studied here. We also define the evolute and symmetry set of M and prove duality results that relate them to the bifurcation sets of the family of folding maps.
Type:	article
URI:	http://hdl.handle.net/2115/44881
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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