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

Autor(es)

Libardi, Alice K. M. ^[1] ; Sharko, Vladimir V. ^[2]

Afiliação do(s) autor(es)

^[1] IGCE Unesp Univ Estadual Paulista, Dept Matemat, Caixa Postal 178, BR-13500230 Rio Claro - Brazil

^[2] Natl Acad Sci Ukraine, Inst Math, Kiev - Ukraine

• Tipo de documento: Artigo Científico
• Fonte: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 46, n. 2, p. 697-715, DEC 2015.
• Citações Web of Science: 0

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 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. (AU)

• Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático