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	Provedor de dados Anais da ABC (AABC) (2) Autor HINOJOSA,PEDRO A. (1) Mafra,Albetã C. (1) SILVA,GILVANEIDE N. (1) Palavra-chave Finite total curvature (2) Algebraic curves (1) Gauss map (1) Holomorphic foliations (1) Image of the Gauss map (1) Minimal surfaces (1) Polynomial vector fields (1) Mais... Tipo do documento Info:eu-repo/semantics/article (2) Ano 2013 (1) 2007 (1) País Brazil (2) Idioma Inglês (2)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 2 Primeira ... 1 ... Última Finitely curved orbits of complex polynomial vector fields Anais da ABC (AABC) Mafra,Albetã C.. This note is about the geometry of holomorphic foliations. Let X be a polynomial vector field with isolated singularities on C². We announce some results regarding two problems: 1. Given a finitely curved orbit L of X, under which conditions is L algebraic? 2. If X has some non-algebraic finitely curved orbit L what is the classification of X? Problem 1 is related to the following question: Let C <FONT FACE=Symbol>Ì</FONT> C² be a holomorphic curve which has finite total Gaussian curvature. IsC contained in an algebraic curve? Tipo: Info:eu-repo/semantics/article Palavras-chave: Holomorphic foliations; Polynomial vector fields; Algebraic curves; Finite total curvature. Ano: 2007 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652007000100002 The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature Anais da ABC (AABC) HINOJOSA,PEDRO A.; SILVA,GILVANEIDE N.. In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of&#55349;&#56650;2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2. Tipo: Info:eu-repo/semantics/article Palavras-chave: Gauss map; Minimal surfaces; Finite total curvature; Image of the Gauss map. Ano: 2013 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217 Registros recuperados: 2 Primeira ... 1 ... Última

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