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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] BEHAVIOR OF CURVATURE LINES OF A SURFACE IN EUCLIDEAN 3-SPACE CLOSE TO AN UMBILICAL POINT / [pt] COMPORTAMENTO DAS LINHAS DE CURVATURA DE UMA SUPERFÍCIE NO 3-ESPAÇO EUCLIDIANO PRÓXIMO A UM PONTO UMBÍLICO

FERNANDA PY SILVA CORDEIRO 19 September 2019 (has links)
[pt] O objetivo desse trabalho é entender o comportamento das direções principais de uma superfície perto de um ponto umbílico isolado. Trataremos inicialmente dos pontos umbílicos de Darboux. Nesse caso temos, essencialmente, três comportamentos distintos das linhas de curvatura. Também falaremos sobre pontos umbílicos isolados em superfícies com curvatura média constante. Nesse contexto, temos infinitas possibilidades para o comportamento das linhas de curvatura. / [en] The objective of this work is to understand the behavior of principal directions of a surface near an isolated umbilical point. Initially, we will deal with a Darbouxian Umbilical Point. In this case, we essentially have three distinct behaviors of curvature lines.We also discuss isolated umbilical points in surfaces with constant mean curvature. In this context, we have infinite possibilities for the behavior of curvature lines.

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