SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS

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タイトル	SINGULARITIES OF THE ASYMPTOTIC COMPLETION OF DEVELOPABLE MÖBIUS STRIPS
著者	Naokawa, Kosuke 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	50
号	2
開始ページ	425
終了ページ	437
刊行年月	2013-06
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/25082
言語	英語
DOI	info:doi/10.18910/25082

著者版フラグ	publisher
NII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.50(2) P.425-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-06
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/25082
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	info:doi/10.18910/25082
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/25082
citation_doi	info:doi/10.18910/25082