LOCAL DIFFERENTIAL GEOMETRY OF CUSPIDAL EDGE AND SWALLOWTAIL

Fukui, Toshizumi

doi:info:doi/10.18910/77239

このアイテムのアクセス数:10件（2021-03-09 00:43 集計）

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タイトル	LOCAL DIFFERENTIAL GEOMETRY OF CUSPIDAL EDGE AND SWALLOWTAIL
著者	Fukui, Toshizumi Fukui, Toshizumi
抄録	We investigate the local differential geometric invariants of cuspidal edge and swallowtail from the view point of singularity theory. We introduce finite type invariants of such singularities (see Remark 1.5 and Theorem 2.11) based on certain normal forms for cuspidal edge and swallowtail. Then we discuss several geometric aspects based on our normal form. We also present several asymptotic formulas concerning our invariants with respect to Gauss curvature and mean curvature.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	4
開始ページ	961
終了ページ	992
刊行年月	2020-10
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/77239
言語	英語
DOI	info:doi/10.18910/77239
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 4 （2020-10）

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.57(4) P.961-P.992
DC.title	LOCAL DIFFERENTIAL GEOMETRY OF CUSPIDAL EDGE AND SWALLOWTAIL
DC.creator	Fukui, Toshizumi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-10
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/77239
DCTERMS.abstract	We investigate the local differential geometric invariants of cuspidal edge and swallowtail from the view point of singularity theory. We introduce finite type invariants of such singularities (see Remark 1.5 and Theorem 2.11) based on certain normal forms for cuspidal edge and swallowtail. Then we discuss several geometric aspects based on our normal form. We also present several asymptotic formulas concerning our invariants with respect to Gauss curvature and mean curvature.
DC.identifier	info:doi/10.18910/77239
citation_title	LOCAL DIFFERENTIAL GEOMETRY OF CUSPIDAL EDGE AND SWALLOWTAIL
citation_author	Fukui, Toshizumi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	4
citation_firstpage	961
citation_lastpage	992
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/77239
citation_doi	info:doi/10.18910/77239

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