The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
Autor(a) principal: | |
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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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7160 |
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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 |
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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 |
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1799136681367961600 |