An extension of the poincaré compactification and a geometric interpretation

dc.creator	Vidal, Claudio
dc.creator	Gómez, Pedro
dc.date	2017-04-24
dc.identifier	http://www.revistaproyecciones.cl/article/view/1479
dc.identifier	10.4067/S0716-09172003000300001
dc.description	Our purpose in this paper is to understand the geometry of the Poincaré compactification and to apply this technique to prove that there exists a Poincaré compactification of vector fields defined by rational functions and of vector field that are the quotient of some power of polynomial. We will give also a global expressions for the Poincaré vector field associated. Furthermore, we summarize these results proving that there exist a Poincaré vector field for any vector field whose rate of growth at infinity of each component is not bigger than a polynomial growth.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1479/1258
dc.rights	Derechos de autor 2003 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 22 No 3 (2003); 161-180	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 22 Núm. 3 (2003); 161-180	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	An extension of the poincaré compactification and a geometric interpretation	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES