CURVAS E SUPERFÍCIES REGULARES: UM ESTUDO SOBRE CURVATURAS

Abstract

In this work, a theoretical study will be carried out on the Differential Geometry of the regular parameterized curves and surfaces, with the objective of show results of classification of curves through known information, a priori, on the curvature and twist of these curves and obtain a result of classification of surfaces through the prior knowledge of the gaussian curvature signal and the characteristics of the points of this surface. In addition, a general study will be carried on some surfaces of gaussian and/or average constant curvatures. To achieve the objectives of the work, we used bibliographic research and, as main tools, derivation and integration techniques, as well as classic results Differential and Integral Calculus and Analytic Geometry.