Data/hora: 11/06/2024 08:14:53

Provedor de dados: 	42	
País: 	Brazil	
Título: 	Injective mappings and solvable vector fields	
Autores: 	Santos Filho,José R. dos; Tavares,Joaquim.	
Data: 	2010-09-01	
Ano: 	2010	
Palavras-chave: 	Fields; Injectivity; Mappings; Solvability; Vectors.	
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 &lt; 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.	
Tipo: 	Info:eu-repo/semantics/article	
Idioma: 	Inglês	
Identificador: 	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652010000300002	
Editor: 	Academia Brasileira de Ciências	
Relação: 	10.1590/S0001-37652010000300002	
Formato: 	text/html	
Fonte: 	Anais da Academia Brasileira de Ciências  v.82 n.3 2010	
Fonte: 	info:eu-repo/semantics/openAccess