SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES

Yasumoto, Masashi; Rossman, Wayne

doi:https://doi.org/10.18910/73744

SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES

Yasumoto, Masashi; Rossman, Wayne

Osaka Journal of Mathematics, 2020, 57(1), 169-185

アクセス数:304件（2025-07-05 02:33 集計）

固定URL: https://doi.org/10.18910/73744

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タイトル	SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES
著者	NRID 1000070770543 1000070770543 著者名 Yasumoto, Masashi
著者	NRID 1000050284485 1000050284485 著者名 Rossman, Wayne
抄録	We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms are, confirming their required properties regarding curvatures and parallel surfaces, and then classify them. We then define and analyze their singularities. In particular, we discuss singularities of (1) semi-discrete surfaces with non-zero constant Gaussian curvature, (2) parallel surfaces of semi-discrete minimal and maximal surfaces, and (3) semi-discrete constant mean curvature 1 surfaces in de Sitter 3-space. We include comparisons with different previously known definitions of such singularities.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(1)
ページ	169-185
刊行年月	2020-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73744
DOI	https://doi.org/10.18910/73744
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 57, Number 1 （2020-1）

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. 2020, 57(1), p. 169-185
DC.title	SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES
DC.creator	Yasumoto, Masashi
DC.creator	Rossman, Wayne
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	2020-01
DCTERMS.abstract	We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type representations in 3-dimensional Riemannian and Lorentzian spaceforms are, confirming their required properties regarding curvatures and parallel surfaces, and then classify them. We then define and analyze their singularities. In particular, we discuss singularities of (1) semi-discrete surfaces with non-zero constant Gaussian curvature, (2) parallel surfaces of semi-discrete minimal and maximal surfaces, and (3) semi-discrete constant mean curvature 1 surfaces in de Sitter 3-space. We include comparisons with different previously known definitions of such singularities.
DC.identifier	10.18910/73744
DC.format	73744
citation_title	SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES
citation_author	Yasumoto, Masashi
citation_author	Rossman, Wayne
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	1
citation_firstpage	169
citation_lastpage	185
citation_public_url	https://hdl.handle.net/11094/73744
citation_doi_detail	10.18910/73744
citation_doi	https://doi.org/10.18910/73744

SEMI-DISCRETE LINEAR WEINGARTEN SURFACES WITH WEIERSTRASS-TYPE REPRESENTATIONS AND THEIR SINGULARITIES

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