Injective mappings and solvable vector fields
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| Format: | Artículo científico |
| Sprache: | en |
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Academia Brasileira de Ciências
2010
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| _version_ | 1876470963195871232 |
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| author | José R. dos Santos Filho |
| author_facet | José R. dos Santos Filho |
| contents | Injective mappings and solvable vector fields José R. dos Santos Filho Joaquim Tavares Multidisciplinaria (Ciencias Naturales y Exactas) Fields vectors mappings injectivity solvability 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. 2010 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32717619002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.3 Vol.82 |
| format | Artículo científico |
| id | redalyc_32717619002 |
| institution | Redalyc |
| language | en |
| publishDate | 2010 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Injective mappings and solvable vector fields José R. dos Santos Filho Multidisciplinaria (Ciencias Naturales y Exactas) Fields vectors mappings injectivity solvability Injective mappings and solvable vector fields José R. dos Santos Filho Joaquim Tavares Multidisciplinaria (Ciencias Naturales y Exactas) Fields vectors mappings injectivity solvability 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. 2010 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32717619002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.3 Vol.82 |
| title | Injective mappings and solvable vector fields |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Fields vectors mappings injectivity solvability |
| url | https://www.redalyc.org/articulo.oa?id=32717619002 |