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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Injective mappings and solvable vector fields

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Author(s):
dos Santos Filho, Jose R. [1] ; Tavares, Joaquim [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Fed Pernambuco, Dept Matemat, BR-50740540 Recife, PE - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Anais da Academia Brasileira de Ciências; v. 82, n. 3, p. 555-559, SEP 2010.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 07/08231-0 - Geometric theory of PDE and several complex variables
Grantee:Jorge Guillermo Hounie
Support type: Research Projects - Thematic Grants