Libardi, Alice Kimie Miwa [UNESP]Sharko, Vladimir V.2018-12-112018-12-112015-12-01Topological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.1230-3429http://hdl.handle.net/11449/172445In 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.697-715engManifoldMorse numberPoincaré-hopf indexS1-invariant bott functionSemi-free circle actionArtigo10.12775/TMNA.2015.081Acesso aberto2-s2.0-84955246631