Folding maps on spacelike and timelike surfaces and duality


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84003

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
Keywords:	Bifurcation sets
	duality
	evolute
	folding maps
	height functions
	hyperbolic space
	de Sitter space
	singularities
	symmetry set
Issue Date:	15-May-2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	853
Start Page:	1
End Page:	26
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:	bulletin (article)
URI:	http://hdl.handle.net/2115/69662
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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