On caustics of submanifolds and canal hypersurfaces in Euclidean space


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/48586

Title:	On caustics of submanifolds and canal hypersurfaces in Euclidean space
Authors:	Izumiya, Shyuichi Browse this author →KAKEN DB
Authors:	Takahashi, Masatomo Browse this author
Keywords:	Caustics
	Canal hypersurface
	Lagrangian singularity
	Legendrian singularity
Issue Date:	1-Feb-2012
Publisher:	Elsevier B.V.
Journal Title:	Topology and its Applications
Volume:	159
Issue:	2
Start Page:	501
End Page:	508
Publisher DOI:	10.1016/j.topol.2011.09.025
Abstract:	We investigate a relationship between the caustics of a submanifold of general dimension and of a canal hypersurface of the submanifold in Euclidean space. As a consequence, these caustics are the same. Moreover, induced Lagrangian immersion germs are Lagrangian equivalent under a suitable condition. In order to show the results, we use the theory of Lagrangian singularity and of Legendrian singularity.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/48586
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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