Geometric invariants of cuspidal edges
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2016 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.4153/CJM-2015-011-5 http://hdl.handle.net/11449/173221 |
Resumo: | We give a normal form of the cuspidal edge that uses only diffeomorphisms on the source and isometries on the target. Using this normal form, we study differential geometric invariants of cuspidal edges that determine them up to order three. We also clarify relations between these invariants. |
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Geometric invariants of cuspidal edgesCurvatureCuspidal edgeWave frontsWe give a normal form of the cuspidal edge that uses only diffeomorphisms on the source and isometries on the target. Using this normal form, we study differential geometric invariants of cuspidal edges that determine them up to order three. We also clarify relations between these invariants.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Japan Society for the Promotion of ScienceJapan Society for the Promotion of Science LondonDepartamento de Matemática IBILCE-UNESP-Univ. Estadual Paulista, R. Cristóvão Colombo, 2265Department of Mathematics Graduate School of Science Kobe UniversityDepartamento de Matemática IBILCE-UNESP-Univ. Estadual Paulista, R. Cristóvão Colombo, 2265Japan Society for the Promotion of Science: 23740045Universidade Estadual Paulista (Unesp)Kobe UniversityMartins, Luciana De Fátima [UNESP]Saji, Kentaro2018-12-11T17:04:12Z2018-12-11T17:04:12Z2016-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article445-462application/pdfhttp://dx.doi.org/10.4153/CJM-2015-011-5Canadian Journal of Mathematics, v. 68, n. 2, p. 445-462, 2016.0008-414Xhttp://hdl.handle.net/11449/17322110.4153/CJM-2015-011-52-s2.0-849784275452-s2.0-84978427545.pdf0956895774146814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCanadian Journal of Mathematicsinfo:eu-repo/semantics/openAccess2023-12-07T06:19:06Zoai:repositorio.unesp.br:11449/173221Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:43:51.818539Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Geometric invariants of cuspidal edges |
| title |
Geometric invariants of cuspidal edges |
| spellingShingle |
Geometric invariants of cuspidal edges Martins, Luciana De Fátima [UNESP] Curvature Cuspidal edge Wave fronts |
| title_short |
Geometric invariants of cuspidal edges |
| title_full |
Geometric invariants of cuspidal edges |
| title_fullStr |
Geometric invariants of cuspidal edges |
| title_full_unstemmed |
Geometric invariants of cuspidal edges |
| title_sort |
Geometric invariants of cuspidal edges |
| author |
Martins, Luciana De Fátima [UNESP] |
| author_facet |
Martins, Luciana De Fátima [UNESP] Saji, Kentaro |
| author_role |
author |
| author2 |
Saji, Kentaro |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Kobe University |
| dc.contributor.author.fl_str_mv |
Martins, Luciana De Fátima [UNESP] Saji, Kentaro |
| dc.subject.por.fl_str_mv |
Curvature Cuspidal edge Wave fronts |
| topic |
Curvature Cuspidal edge Wave fronts |
| description |
We give a normal form of the cuspidal edge that uses only diffeomorphisms on the source and isometries on the target. Using this normal form, we study differential geometric invariants of cuspidal edges that determine them up to order three. We also clarify relations between these invariants. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016-04-01 2018-12-11T17:04:12Z 2018-12-11T17:04:12Z |
| 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/10.4153/CJM-2015-011-5 Canadian Journal of Mathematics, v. 68, n. 2, p. 445-462, 2016. 0008-414X http://hdl.handle.net/11449/173221 10.4153/CJM-2015-011-5 2-s2.0-84978427545 2-s2.0-84978427545.pdf 0956895774146814 |
| url |
http://dx.doi.org/10.4153/CJM-2015-011-5 http://hdl.handle.net/11449/173221 |
| identifier_str_mv |
Canadian Journal of Mathematics, v. 68, n. 2, p. 445-462, 2016. 0008-414X 10.4153/CJM-2015-011-5 2-s2.0-84978427545 2-s2.0-84978427545.pdf 0956895774146814 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Canadian Journal of Mathematics |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
445-462 application/pdf |
| dc.source.none.fl_str_mv |
Scopus 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) |
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|
| _version_ |
1808128231567523840 |