DSpace Coleção:
http://www.repositorio.ufc.br/handle/riufc/23882
Sat, 29 Jan 2022 01:37:43 GMT2022-01-29T01:37:43ZUma abordagem do teorema de Gauss-Bonnet para superfícies compactas no R3 via método do referencial móvel
http://www.repositorio.ufc.br/handle/riufc/55512
Título: Uma abordagem do teorema de Gauss-Bonnet para superfícies compactas no R3 via método do referencial móvel
Autor(es): Silva, Vinícios Lopes da
Abstract: In this work we show a method used in Differential and Riemanian Geometry, capable of facilitating demonstrations and generalizations of theorems that are difficult to access by other methods. In order for the reader to be able to visualize the solidity of the method presented, we have developed the necessary and sufficient concepts for the demonstrations. As proof that the Moving Frame Method can be extremely useful, we approach the Gauss-Bonnet Theorem for compact surfaces in R^3 in its global version.Wed, 01 Jan 2020 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/555122020-01-01T00:00:00ZA Desigualdade isoperimétrica
http://www.repositorio.ufc.br/handle/riufc/55432
Título: A Desigualdade isoperimétrica
Autor(es): Inácio, Michael da Silva
Abstract: This work presents a proof of the Isoperimetric Inequality in its classic form using some properties of the Fourier series. In addition, it presents the proof of a generalized form of Isoperimetric Inequality using Brunn-Minkowski inequality and some properties of the n-dimensional Lebesgue measure.Wed, 01 Jan 2020 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/554322020-01-01T00:00:00ZGeometria diferencial das curvas planas
http://www.repositorio.ufc.br/handle/riufc/55409
Título: Geometria diferencial das curvas planas
Autor(es): Sobreira Netto, Samuel Belo
Abstract: This work present in an objective way what would be differential geometry base: the plane curves. At first, the basic definitions, considered very important for the study of plane curves,were presented, as how to define what is a parametrized curve, how to find tangent vectors of a curve, the definition of regular curve and arc length. From this, it is possible to proceed to the definition of Frenet formulas in the plane. Therefore, the necessary tools to enunciate and prove a very important theorem in differential geometry, the Fundamental Theorem of the Plane Curves,are obtained. Finally, other two theorems will be presents, that also stand out in differential geometry, the Jordan’s Curve Theorem and the Isoperimetric Inequality.Wed, 01 Jan 2020 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/554092020-01-01T00:00:00Z