Functions and vector fields on C(ℂPn)-singular manifolds
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
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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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 |