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

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dc.contributor.authorLibardi, Alice Kimie Miwa [UNESP]
dc.contributor.authorSharko, Vladimir V.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionNational Academy of Sciences of Ukraine
dc.date.accessioned2018-12-11T17:00:23Z
dc.date.available2018-12-11T17:00:23Z
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 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.en
dc.description.affiliationDepartamento de Matemática I.G.C.E-Unesp Univeristy Estadual Paulista, Caixa Postal 178
dc.description.affiliationInstitute of Mathematics National Academy of Sciences of Ukraine
dc.description.affiliationUnespDepartamento de Matemática I.G.C.E-Unesp Univeristy Estadual Paulista, Caixa Postal 178
dc.format.extent697-715
dc.identifierhttp://dx.doi.org/10.12775/TMNA.2015.081
dc.identifier.citationTopological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.
dc.identifier.doi10.12775/TMNA.2015.081
dc.identifier.issn1230-3429
dc.identifier.scopus2-s2.0-84955246631
dc.identifier.urihttp://hdl.handle.net/11449/172445
dc.language.isoeng
dc.relation.ispartofTopological Methods in Nonlinear Analysis
dc.relation.ispartofsjr0,710
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectManifold
dc.subjectMorse number
dc.subjectPoincaré-hopf index
dc.subjectS1-invariant bott function
dc.subjectSemi-free circle action
dc.titleFunctions and vector fields on C(ℂPn)-singular manifoldsen
dc.typeArtigo
unesp.author.lattes1510825392356387[1]
unesp.author.orcid0000-0002-7183-2635[1]

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