Análise geométrica e geometria diferencial global de superfícies.

Abstract

Classical differential geometry studies the geometrical properties of plane and spatial curves and surfaces using the techniques from linear algebra, calculus, analyses and topology, among others. These geometrical properties may be local, i. e, in the neighborhood of a point, or global, when the object of study is considered as a whole. Differential geometry has important applications in various areas of science and engineering like the theory of elasticity, relativity theory, graphic computation and imaging processing, for example. In our work we study some intrinsic properties of surfaces through the techniques of analysis and linear algebra.