FUNCTIONS AND VECTOR FIELDS ON C(CPn)-SINGULAR MANIFOLDS
Carregando...
Data
2015-12-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Juliusz Schauder Ctr Nonlinear Studies
Tipo
Artigo
Direito de acesso
Acesso aberto![Acesso Aberto](assets/repositorio/images/logo_acesso_aberto_simples.png)
![Acesso Aberto](assets/repositorio/images/logo_acesso_aberto_simples.png)
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.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Topological Methods In Nonlinear Analysis. Torun: Juliusz Schauder Ctr Nonlinear Studies, v. 46, n. 2, p. 697-715, 2015.