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論文情報

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アクセス権	open access
URI	https://hdl.handle.net/2115/76172
タイトル	Singularities of tangent surfaces to directed curves
著者	e-Rad_Researcher 50176161 著者名 Ishikawa, G.
	著者名 Yamashita, T.
言語	英語
キーワード	Affine connection
	Geodesic
	Frontal
	Open swallowtail
発行日	2018-02-01
出版者	Elsevier
収録物名	Topology and its applications
巻(号)	234
ページ	198-208
抄録	A directed curve is a possibly singular curve with well-defined tangent lines along the curve. Then the tangent surface to a directed curve is naturally defined as the ruled surface by tangent geodesics to the curve, whenever any affine connection is endowed with the ambient space. In this paper the local diffeomorphism classification is completed for generic directed curves. Then it turns out that the swallowtails and open swallowtails appear generically for the classification on singularities of tangent surfaces. (C) 2017 Elsevier B.V. All rights reserved.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0166-8641
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.topol.2017.11.018

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