Functions and vector fields on C(ℂPn)-singular manifolds

Detalhes bibliográficos
Autor(a) principal: Libardi, Alice Kimie Miwa [UNESP]
Data de Publicação: 2015
Outros Autores: Sharko, Vladimir V.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12775/TMNA.2015.081
http://hdl.handle.net/11449/172445
Resumo: In this paper we study functions and vector fields with isolated singularities on a C(ℂPn)-singular manifold. In general, a C(ℂPn)-singular manifold is obtained from a smooth (2n + 1)-manifold with boundary which is a disjoint union of complex projective spaces Claro ℂPn ∪ … ∪ ℂPn and subsequent capture of the cone over each component ℂPn of the boundary. We calculate the Euler characteristic of a compact C(ℂPn)-singular manifold M2n+1 with finite isolated singular points. We also prove a version of the Poincaré-Hopf Index Theorem for an almost smooth vector field with finite number of zeros on a C(ℂPn)-singular manifold.
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spelling Functions and vector fields on C(ℂPn)-singular manifoldsManifoldMorse numberPoincaré-hopf indexS1-invariant bott functionSemi-free circle actionIn this paper we study functions and vector fields with isolated singularities on a C(ℂPn)-singular manifold. In general, a C(ℂPn)-singular manifold is obtained from a smooth (2n + 1)-manifold with boundary which is a disjoint union of complex projective spaces Claro ℂPn ∪ … ∪ ℂPn and subsequent capture of the cone over each component ℂPn of the boundary. We calculate the Euler characteristic of a compact C(ℂPn)-singular manifold M2n+1 with finite isolated singular points. We also prove a version of the Poincaré-Hopf Index Theorem for an almost smooth vector field with finite number of zeros on a C(ℂPn)-singular manifold.Departamento de Matemática I.G.C.E-Unesp Univeristy Estadual Paulista, Caixa Postal 178Institute of Mathematics National Academy of Sciences of UkraineDepartamento de Matemática I.G.C.E-Unesp Univeristy Estadual Paulista, Caixa Postal 178Universidade Estadual Paulista (Unesp)National Academy of Sciences of UkraineLibardi, Alice Kimie Miwa [UNESP]Sharko, Vladimir V.2018-12-11T17:00:23Z2018-12-11T17:00:23Z2015-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article697-715http://dx.doi.org/10.12775/TMNA.2015.081Topological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.1230-3429http://hdl.handle.net/11449/17244510.12775/TMNA.2015.0812-s2.0-84955246631Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTopological Methods in Nonlinear Analysis0,710info:eu-repo/semantics/openAccess2021-10-23T16:51:39Zoai:repositorio.unesp.br:11449/172445Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:04:50.905967Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Functions and vector fields on C(ℂPn)-singular manifolds
title Functions and vector fields on C(ℂPn)-singular manifolds
spellingShingle Functions and vector fields on C(ℂPn)-singular manifolds
Libardi, Alice Kimie Miwa [UNESP]
Manifold
Morse number
Poincaré-hopf index
S1-invariant bott function
Semi-free circle action
title_short Functions and vector fields on C(ℂPn)-singular manifolds
title_full Functions and vector fields on C(ℂPn)-singular manifolds
title_fullStr Functions and vector fields on C(ℂPn)-singular manifolds
title_full_unstemmed Functions and vector fields on C(ℂPn)-singular manifolds
title_sort Functions and vector fields on C(ℂPn)-singular manifolds
author Libardi, Alice Kimie Miwa [UNESP]
author_facet Libardi, Alice Kimie Miwa [UNESP]
Sharko, Vladimir V.
author_role author
author2 Sharko, Vladimir V.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
National Academy of Sciences of Ukraine
dc.contributor.author.fl_str_mv Libardi, Alice Kimie Miwa [UNESP]
Sharko, Vladimir V.
dc.subject.por.fl_str_mv Manifold
Morse number
Poincaré-hopf index
S1-invariant bott function
Semi-free circle action
topic Manifold
Morse number
Poincaré-hopf index
S1-invariant bott function
Semi-free circle action
description In this paper we study functions and vector fields with isolated singularities on a C(ℂPn)-singular manifold. In general, a C(ℂPn)-singular manifold is obtained from a smooth (2n + 1)-manifold with boundary which is a disjoint union of complex projective spaces Claro ℂPn ∪ … ∪ ℂPn and subsequent capture of the cone over each component ℂPn of the boundary. We calculate the Euler characteristic of a compact C(ℂPn)-singular manifold M2n+1 with finite isolated singular points. We also prove a version of the Poincaré-Hopf Index Theorem for an almost smooth vector field with finite number of zeros on a C(ℂPn)-singular manifold.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01
2018-12-11T17:00:23Z
2018-12-11T17:00:23Z
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/10.12775/TMNA.2015.081
Topological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.
1230-3429
http://hdl.handle.net/11449/172445
10.12775/TMNA.2015.081
2-s2.0-84955246631
url http://dx.doi.org/10.12775/TMNA.2015.081
http://hdl.handle.net/11449/172445
identifier_str_mv Topological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.
1230-3429
10.12775/TMNA.2015.081
2-s2.0-84955246631
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Topological Methods in Nonlinear Analysis
0,710
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 697-715
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)
repository.mail.fl_str_mv
_version_ 1808129580612976640

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