Structurally stable configurations of lines of mean curvature and umbilc points on surfaces immersed in R3

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dc.creatorGarcia, Ronaldo Alves
dc.creatorTello, Jorge Manuel Sotomayor
dc.date.accessioned2017-09-18T10:39:37Z
dc.date.available2017-09-18T10:39:37Z
dc.date.issued2001
dc.description.resumoIn this paper we study the pairs oforthogonal foliations on oriented surfaces immersed in R3 whose singularities and leaves are, respectively, the umbilic points and the lines ofnormal mean curvature ofthe immersion. Along these lines the immersions bend in R3 according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal normal curvature for the immersion, the pair of foliations by lines of normal mean curvature and umbilics, assembled together, are called Mean Curvature Configurations. This paper studies the stable and generic cases ofum bilic points and mean curvature cycles, with their Poincar´e map. This provides two ofthe essential local ingredients to establish sufficient conditions for mean curvature structural stability, the analog of principal curvature structural stability, [S-G], [GS2].pt_BR
dc.identifier.citationGARCIA, Ronaldo Alves; SOTOMAYOR, J. Structurally stable configurations of lines of mean curvature and umbilc points on surfaces immersed in R3. Publicacions Matemàtiques, Barcelona, v. 45, n. 2, p. 431-466, 2001.pt_BR
dc.identifier.issn0214-1493
dc.identifier.urihttp://repositorio.bc.ufg.br/handle/ri/12484
dc.language.isoengpt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RG)pt_BR
dc.rightsAcesso Abertopt_BR
dc.titleStructurally stable configurations of lines of mean curvature and umbilc points on surfaces immersed in R3pt_BR
dc.typeArtigopt_BR

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