Superfícies translacionais no espaço isotrópico
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Data
2019-03-01
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Universidade Federal de Goiás
Resumo
Translation Surfaces are obtained by translating curves contained in non-parallel
planes. In this paper, the results of the Aydin, M. E; Ergut, M. Affine Translation
Surfaces in the Isotropic Space [3]. Are considered the Affine Translation Surfaces
type 1 in the Isotropic 3- Space I3, obtained for translating of two curves in the
planes not necessarily orthogonal. The objective was to characterize the Weingarten
Affine Translation Surfaces, which satisfy certain conditions with respect to Gaussian
and mean curvatures. In addition, results were obtained for Translation Surfaces
satisfying \Delta _{I,II }ri = \lambda_{i}ri, finding explicit solutions for the parameterization of such surfaces. Some examples are presented, as well as their respective graphs that were plotted using the Mathematical software.
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Citação
ANDRADE, Thamara Policarpo Mendes de. Superfícies translacionais no espaço isotrópico. 2019.61 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.