Lines of curvature on surfaces, historical comments and recent developments

dc.creator	Tello, Jorge Manuel Sotomayor
dc.creator	Garcia, Ronaldo Alves
dc.date.accessioned	2017-09-18T10:20:50Z
dc.date.available	2017-09-18T10:20:50Z
dc.date.issued	2008
dc.description.resumo	This survey starts with the historical landmarks leading to the study of principal configurations on surfaces, their structural stability and further generalizations. Here it is pointed out that in the work of Monge, 1796, are found elements of the qualitative theory of differential equations (QTDE), founded by Poincar´e in 1881. Here are also outlined a number of recent results developed after the assimilation into the subject of concepts and problems from the QTDE and Dynamical Systems, such as Structural Stability, Bifurcations and Genericity, among others, as well as extensions to higher dimensions. References to original works are given and open problems are proposed at the end of some sections.	pt_BR
dc.identifier.citation	SOTOMAYOR, Jorge; GARCIA, Ronaldo Alves . Lines of curvature on surfaces, historical comments and recent developments. São Paulo Journal of Mathematical Sciences, São Paulo, v. 2, n. 1, p. 99-143, 2008.	pt_BR
dc.identifier.issn	2316-9028
dc.identifier.uri	http://repositorio.bc.ufg.br/handle/ri/12479
dc.language.iso	eng	pt_BR
dc.publisher.country	Brasil	pt_BR
dc.publisher.department	Instituto de Matemática e Estatística - IME (RG)	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	Lines of curvature on surfaces, historical comments and recent developments	pt_BR
dc.type	Artigo	pt_BR

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