The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces

Detalhes bibliográficos
Autor(a) principal: Albuquerque, Rui
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/30981
https://doi.org/The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces, Pacific Journal of Mathematics, Vol. 312, No. 2, 2021, pp. 257-277, https://doi.org/10.2140/pjm.2021.312.257
https://doi.org/10.2140/pjm.2021.312.257
Resumo: We revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, taking time to re-prove it while demonstrating techniques of ([http://hdl.handle.net/10174/26893]) and then applying it to gain new understanding of isoparametric hypersurfaces.
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spelling The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfacesEuler characteristichypersurfacemean curvaturesspace formisoparametricWe revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, taking time to re-prove it while demonstrating techniques of ([http://hdl.handle.net/10174/26893]) and then applying it to gain new understanding of isoparametric hypersurfaces.Mathematical Sciences Publishers2022-01-31T15:46:42Z2022-01-312021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/30981https://doi.org/The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces, Pacific Journal of Mathematics, Vol. 312, No. 2, 2021, pp. 257-277, https://doi.org/10.2140/pjm.2021.312.257http://hdl.handle.net/10174/30981https://doi.org/10.2140/pjm.2021.312.257enghttps://arxiv.org/abs/2102.08712rpa_da@sapo.pt337Albuquerque, Ruiinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:28:48Zoai:dspace.uevora.pt:10174/30981Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:20:02.226956Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
title The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
spellingShingle The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
Albuquerque, Rui
Euler characteristic
hypersurface
mean curvatures
space form
isoparametric
title_short The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
title_full The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
title_fullStr The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
title_full_unstemmed The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
title_sort The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
author Albuquerque, Rui
author_facet Albuquerque, Rui
author_role author
dc.contributor.author.fl_str_mv Albuquerque, Rui
dc.subject.por.fl_str_mv Euler characteristic
hypersurface
mean curvatures
space form
isoparametric
topic Euler characteristic
hypersurface
mean curvatures
space form
isoparametric
description We revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, taking time to re-prove it while demonstrating techniques of ([http://hdl.handle.net/10174/26893]) and then applying it to gain new understanding of isoparametric hypersurfaces.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01T00:00:00Z
2022-01-31T15:46:42Z
2022-01-31
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://hdl.handle.net/10174/30981
https://doi.org/The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces, Pacific Journal of Mathematics, Vol. 312, No. 2, 2021, pp. 257-277, https://doi.org/10.2140/pjm.2021.312.257
http://hdl.handle.net/10174/30981
https://doi.org/10.2140/pjm.2021.312.257
url http://hdl.handle.net/10174/30981
https://doi.org/The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces, Pacific Journal of Mathematics, Vol. 312, No. 2, 2021, pp. 257-277, https://doi.org/10.2140/pjm.2021.312.257
https://doi.org/10.2140/pjm.2021.312.257
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://arxiv.org/abs/2102.08712
rpa_da@sapo.pt
337
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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