Injective mappings and solvable vector fields

Autor(es)

dos Santos Filho, Jose R. ^[1] ; Tavares, Joaquim ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Fed Pernambuco, Dept Matemat, BR-50740540 Recife, PE - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Anais da Academia Brasileira de Ciências; v. 82, n. 3, p. 555-559, SEP 2010.
• Citações Web of Science: 1

Resumo

We establish a sufficient condition for injectivity in a class of mappings defined on open connected subsets of Rn , for arbitrary n. The result relates solvability of the appropriate vector fields with injectivity of the mapping and extends a result proved by the first author for n < 3 . Furthermore, we extend the result to connected paracompact smooth oriented manifolds and show that the convexity condition imposes strong topological restrictions on the manifold. (AU)

• Processo FAPESP: 07/08231-0 - Teoria geométrica de EDP e várias variáveis complexas
• Beneficiário: Jorge Guillermo Hounie
• Modalidade de apoio: Auxílio à Pesquisa - Temático