BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE

Bibliographic Details
Main Author: Martins, Luciana f. [UNESP]
Publication Date: 2024
Other Authors: Saji, Kentaro, Santos, Samuel p. dos [UNESP], Teramoto, Keisuke
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.33044/revuma.3492
https://hdl.handle.net/11449/297021
Summary: . Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of this divergence, in particular the boundedness about these invariants, represent the geometry of the surface and the curve. In this paper, we study the boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane, and those of the curves passing through the singular point. We evaluate the orders of the Gaussian and mean curvatures, as well as those of the geodesic and normal curvatures, and the geodesic torsion for the curve.
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spelling BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVECuspidal edgegeodesic curvaturenormal curvaturegeodesic torsion. Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of this divergence, in particular the boundedness about these invariants, represent the geometry of the surface and the curve. In this paper, we study the boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane, and those of the curves passing through the singular point. We evaluate the orders of the Gaussian and mean curvatures, as well as those of the geodesic and normal curvatures, and the geodesic torsion for the curve.Japan Society for the Promotion of Science KAKENHIJapan-Brazil bilateral projectFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265,Jd Nazareth, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilKobe Univ, Grad Sch Sci, Dept Math, Rokkodai 1-1, Kobe, 6578501, JapanYamaguchi Univ, Grad Sch Sci & Technol Innovat, Yamaguchi 7538512, JapanUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265,Jd Nazareth, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilJapan Society for the Promotion of Science KAKENHI: 18K03301Japan Society for the Promotion of Science KAKENHI: 19K14533Japan Society for the Promotion of Science KAKENHI: 22K03312Japan Society for the Promotion of Science KAKENHI: 22K13914Japan-Brazil bilateral project: JPJSBP1 20190103FAPESP: 2018/17712-7Union Matematica ArgentinaUniversidade Estadual Paulista (UNESP)Kobe UnivYamaguchi UnivMartins, Luciana f. [UNESP]Saji, KentaroSantos, Samuel p. dos [UNESP]Teramoto, Keisuke2025-04-29T18:05:19Z2024-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article475-502http://dx.doi.org/10.33044/revuma.3492Revista De La Union Matematica Argentina. La Plata: Union Matematica Argentina, v. 67, n. 2, p. 475-502, 2024.0041-6932https://hdl.handle.net/11449/29702110.33044/revuma.3492WOS:001386076500005Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista De La Union Matematica Argentinainfo:eu-repo/semantics/openAccess2025-04-30T14:28:10Zoai:repositorio.unesp.br:11449/297021Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-30T14:28:10Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
title BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
spellingShingle BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
Martins, Luciana f. [UNESP]
Cuspidal edge
geodesic curvature
normal curvature
geodesic torsion
title_short BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
title_full BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
title_fullStr BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
title_full_unstemmed BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
title_sort BOUNDEDNESS OF GEOMETRIC INVARIANTS NEAR A SINGULARITY WHICH IS A SUSPENSION OF A SINGULAR CURVE
author Martins, Luciana f. [UNESP]
author_facet Martins, Luciana f. [UNESP]
Saji, Kentaro
Santos, Samuel p. dos [UNESP]
Teramoto, Keisuke
author_role author
author2 Saji, Kentaro
Santos, Samuel p. dos [UNESP]
Teramoto, Keisuke
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Kobe Univ
Yamaguchi Univ
dc.contributor.author.fl_str_mv Martins, Luciana f. [UNESP]
Saji, Kentaro
Santos, Samuel p. dos [UNESP]
Teramoto, Keisuke
dc.subject.por.fl_str_mv Cuspidal edge
geodesic curvature
normal curvature
geodesic torsion
topic Cuspidal edge
geodesic curvature
normal curvature
geodesic torsion
description . Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of this divergence, in particular the boundedness about these invariants, represent the geometry of the surface and the curve. In this paper, we study the boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane, and those of the curves passing through the singular point. We evaluate the orders of the Gaussian and mean curvatures, as well as those of the geodesic and normal curvatures, and the geodesic torsion for the curve.
publishDate 2024
dc.date.none.fl_str_mv 2024-07-01
2025-04-29T18:05:19Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.33044/revuma.3492
Revista De La Union Matematica Argentina. La Plata: Union Matematica Argentina, v. 67, n. 2, p. 475-502, 2024.
0041-6932
https://hdl.handle.net/11449/297021
10.33044/revuma.3492
WOS:001386076500005
url http://dx.doi.org/10.33044/revuma.3492
https://hdl.handle.net/11449/297021
identifier_str_mv Revista De La Union Matematica Argentina. La Plata: Union Matematica Argentina, v. 67, n. 2, p. 475-502, 2024.
0041-6932
10.33044/revuma.3492
WOS:001386076500005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista De La Union Matematica Argentina
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 475-502
dc.publisher.none.fl_str_mv Union Matematica Argentina
publisher.none.fl_str_mv Union Matematica Argentina
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1834482811065597952

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