FUNCTIONS AND VECTOR FIELDS ON C(CPn)-SINGULAR MANIFOLDS

dc.contributor.authorLibardi, Alice K. M. [UNESP]
dc.contributor.authorSharko, Vladimir V.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionNatl Acad Sci Ukraine
dc.date.accessioned2018-11-26T16:19:23Z
dc.date.available2018-11-26T16:19:23Z
dc.date.issued2015-12-01
dc.description.abstractIn 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 CPn U center dot center dot center dot UCPn 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 Poincare Hopf Index Theorem for an almost smooth vector field with finite number of zeros on a C(CPn)-singular manifold.en
dc.description.affiliationIGCE Unesp Univ Estadual Paulista, Dept Matemat, Caixa Postal 178, BR-13500230 Rio Claro, Brazil
dc.description.affiliationNatl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
dc.description.affiliationUnespIGCE Unesp Univ Estadual Paulista, Dept Matemat, Caixa Postal 178, BR-13500230 Rio Claro, Brazil
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2012/24454-8
dc.format.extent697-715
dc.identifier.citationTopological Methods In Nonlinear Analysis. Torun: Juliusz Schauder Ctr Nonlinear Studies, v. 46, n. 2, p. 697-715, 2015.
dc.identifier.fileWOS000368961400009.pdf
dc.identifier.issn1230-3429
dc.identifier.urihttp://hdl.handle.net/11449/161166
dc.identifier.wosWOS:000368961400009
dc.language.isoeng
dc.publisherJuliusz Schauder Ctr Nonlinear Studies
dc.relation.ispartofTopological Methods In Nonlinear Analysis
dc.relation.ispartofsjr0,710
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectSemi-free circle action
dc.subjectmanifold
dc.subjectS-1-invariant Bott function
dc.subjectMorse number
dc.subjectPoincare-Hopf index
dc.titleFUNCTIONS AND VECTOR FIELDS ON C(CPn)-SINGULAR MANIFOLDSen
dc.typeArtigo
dcterms.rightsHolderJuliusz Schauder Ctr Nonlinear Studies
unesp.author.lattes1510825392356387[1]
unesp.author.orcid0000-0002-7183-2635[1]

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