Projetivo de curvatura em pontos de uma 3-variedade

• Autor(a) principal: Rodrigues, Débora Santos
• Data de Publicação: 2013
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: LOCUS Repositório Institucional da UFV
• Texto Completo: http://locus.ufv.br/handle/123456789/4926
• topic: 3-variedades; Superfície de Veronese; Superfície de Steiner; Geometria; Projetivo de curvatura; Locus de curvatura; 3-manifolds; Veronese Surface; Surface Steiner; Geometry; Projective curvature; Locus of curvature; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

In this work we study of the curvature projective plane at a point of a 3-manifold immersed in Rn n ≥ 4, based one the thesis of R. R. Binotto [1]. We analyzed the different types of surfaces that describe the projective. We show that it can to be described as an isomorphism of the Veronese s surface of order 2 followed by a linear transformation and a translation. We also relate the types of a point on a 3-manifold with the degenericity of projective in the normal space. We conclude this study by analyzing the curvature locus of points in a n-manifold immersed in codimension 2, according to [14]. We present some examples, analyzing a few geometric properties of the curvature locus and comment on some results related to the geometry of a 3-manifold in codimension 2.