| Author(s): |
Total Authors: 2
|
| Affiliation: | [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
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 46, n. 2, p. 697-715, DEC 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 12/24454-8 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |