SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS

Naokawa, Kosuke

Osaka Journal of Mathematics, 2013, 50(2), 425-437

アクセス数:137件（2025-07-09 20:48 集計）

固定URL: https://doi.org/10.18910/25082

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タイトル	SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS
著者	NRID 1000060740826 1000060740826 著者名 Naokawa, Kosuke
抄録	We prove that the asymptotic completion of a developable Möbius strip in Euclidean three-space must have at least one singular point other than cuspidal edge singularities. Moreover, if the strip is generated by a closed geodesic, then the number of such singular points is at least three. These lower bounds are both sharp.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	425-437
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25082
DOI	https://doi.org/10.18910/25082
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 2　(2013-6）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(2), p. 425-437
DC.title	SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS
DC.creator	Naokawa, Kosuke
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-06
DCTERMS.abstract	We prove that the asymptotic completion of a developable Möbius strip in Euclidean three-space must have at least one singular point other than cuspidal edge singularities. Moreover, if the strip is generated by a closed geodesic, then the number of such singular points is at least three. These lower bounds are both sharp.
DC.identifier	10.18910/25082
DC.format	25082
citation_title	SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS
citation_author	Naokawa, Kosuke
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	425
citation_lastpage	437
citation_public_url	https://hdl.handle.net/11094/25082
citation_doi_detail	10.18910/25082
citation_doi	https://doi.org/10.18910/25082