Artículos de revistas
Functions and vector fields on C(ℂPn)-singular manifolds
Fecha
2015-12-01Registro en:
Topological Methods in Nonlinear Analysis, v. 46, n. 2, p. 697-715, 2015.
1230-3429
10.12775/TMNA.2015.081
2-s2.0-84955246631
Autor
Universidade Estadual Paulista (Unesp)
National Academy of Sciences of Ukraine
Institución
Resumen
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.