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You searched for +publisher:"Universidade Federal do Amazonas" +contributor:("Padilha, In?s Silva de Oliveira"). One record found.

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1. Santos, Jos? Lu?s Tavares dos. Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR.

Degree: 2019, Universidade Federal do Amazonas

Neste trabalho estudamos propriedades geom?tricas de superf?cies com proje??o vertical regular e curvatura m?dia constante em H2xR. Para o caso especial em que a curvatura m?dia constante ? igual 1/2, ? constru?da uma certa aplica??o sobre o plano hiperb?lico H2 chamada Aplica??o de Gauss Hiperb?lica e posteriormente ? obtida a harmonicidade da mesma. Outro ponto chave abordado ? que sob certas condi??es impostas ? superf?cie, sempre ? poss?vel a partir de uma aplica??o harm?nica G dada, recuperar uma superf?cie de curvatura m?dia H = 1/2, tal que G ? a sua Aplica??o de Gauss Hiperb?lica e cuja parametriza??o ? dada em termos de G. Tais resultados foram obtidos por Isabel Fern?ndez e Pablo Mira em "Harmonic Maps and Constant Mean Curvature Surfaces in H2xR". As demonstra??es destes resultados fazem uso de par?metros conformes e da utiliza??o de t?cnicas conhecidas na teoria de superf?cies de curvatura m?dia constante. Isso permite encontrarmos condi??es iniciais para recuperar uma superf?cie a partir de um sistema de equa??es diferenciais parciais.

In this work we studied geometric properties of surfaces with regular vertical projection and constant mean curvature in H2xR. For the special case in which the constant mean curvature is 1/2, a certain map is constructed on the hyperbolic plane H2, called Hyperbolic Gauss Map and the harmonicity of it is subsequently obtained. Another key point is that under certain conditions imposed on the surface, it is always possible from a given harmonic map G to recover a mean curvature surface H=1/2, such that G is its Hyperbolic Gauss Map and whose parameterization is given in terms of G. These results were obtained by Isabel Fern?ndez and Pablo Mira in "Harmonic Maps and Constant Mean Curvature Surfaces in H2xR". The demonstrations of these results make use of conformal parameters and the use of techniques known in the theory of constant mean curvature surfaces. This allows you to find initial conditions for recovering a surface from a system of partial differential equations.

CAPES - Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior

Advisors/Committee Members: Padilha, In?s Silva de Oliveira, 52633721249, http://lattes.cnpq.br/5110198334351477, Tribuzy, Renato de Azevedo, http://lattes.cnpq.br/3205991038315072, Ponciano, Jo?o Batista, http://lattes.cnpq.br/4236878005640986, [email protected].

Subjects/Keywords: Aplica??o de Gauss Hiperb?lica, Imers?es, Curvatura M?dia Constante, Superf?cies CMC; CI?NCIAS EXATAS E DA TERRA: MATEM?TICA: GEOMETRIA E TOPOLOGIA: GEOMETRIA DIFERENCIAL

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APA (6th Edition):

Santos, J. L. T. d. (2019). Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR. (Masters Thesis). Universidade Federal do Amazonas. Retrieved from https://tede.ufam.edu.br/handle/tede/7151

Chicago Manual of Style (16th Edition):

Santos, Jos? Lu?s Tavares dos. “Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR.” 2019. Masters Thesis, Universidade Federal do Amazonas. Accessed August 11, 2020. https://tede.ufam.edu.br/handle/tede/7151.

MLA Handbook (7th Edition):

Santos, Jos? Lu?s Tavares dos. “Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR.” 2019. Web. 11 Aug 2020.

Vancouver:

Santos JLTd. Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR. [Internet] [Masters thesis]. Universidade Federal do Amazonas; 2019. [cited 2020 Aug 11]. Available from: https://tede.ufam.edu.br/handle/tede/7151.

Council of Science Editors:

Santos JLTd. Aplica??o de Gauss hiperb?lica e superf?cies CMC em H2xR. [Masters Thesis]. Universidade Federal do Amazonas; 2019. Available from: https://tede.ufam.edu.br/handle/tede/7151

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