Geometria de thurston;uma abordagem utilizando Topologia Computatcional

Algoritmos para reconhecimento de 3-variedades utilizam-se do conceito de superfície normal, sendo assim, pode-se então tratar problemas de teoria de 3-variedades como sendo de programação linear. Como exemplos tem-se o Algoritmo de reconhecimento da 3-esfera triangulável de Rubinstein-Thompson que é implementado na suíte de software Regina, como a decomposição soma conexa de 3-variedades. A completa classificação de 3-variedades pode ser realizada por meio de algoritmos, possuindo assim relevância para o Programa de Geometrização de Thurston para obtenção de resultados inicialmente utilizando topologia computacional. O objetivo do presente trabalho é discorrer sobre uma aplicação do software Regina. Obteve-se durante a elaboração do presente trabalho, o resultado entre a comparação da 3-esfera homológica de Poincaré com a 3-esfera, parte importante para o entendimento da Conjectura de Poincaré e do Programa de Geometrização.

Figuras fulgurantes: a geometrização do espaço Llansol

Os pregos na erva (1962), the first book by Maria Gabriela Llansol, presents us several textures and pictures that break the dividing lines of both textual and imaging spaces due to the figurative compositional process that stands within the literary universe, coloring it with words. The short stories found in this book are based on minimum action that silences the voices of the characters, expanding some other composition, a new course, not in the order of the narrative continuum, but of the textual one. The three short stories to be analyzed (“Intróito”, “A casa às avessas” e “A manhã morta”) are highlighted due to the meaningful incidence of poetic colors that set representation and the motionless universe of narrative on the move, due to the dialogue established with painting, especially with the pictures by Amadeo Modigliani (“Young Brunette”) and Picasso (“Child holding a dove”). Thus, the lines of writing and the geometric ones of painting cross with each other and draft triangles and circles, being responsible for figures that go beyond figurative language and, by doing so, making the suggested images of textuality’s “fulgor” stronger.

Systèmes de numération et automates

Let beta be an hyperbolic algebraic integer of modulus greater than 1. Lot A be a finite set of Q[beta] and D-beta = {(a(i), b(i))(igreater than or equal to0) is an element of (A x A)(N) \ Sigma(i=0)(infinity) a(i)beta(-i)}. We give a necessary and sufficient condition for D-beta to be sofic. As a consequence, we obtain a result due to Thurston (see Corollary 1). We also treat the case where the set of digits A is given by the greedy algorithm and study the connection with the beta-shift. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

CLOSED SPACES IN COSMOLOGY

This paper deals with two aspects of relativistic cosmologies with closed spatial sections. These spacetimes are based on the theory of general relativity, and admit a foliation into space sections S(t), which are spacelike hypersurfaces satisfying the postulate of the closure of space: each S(t) is a three-dimensional closed Riemannian manifold. The topics discussed are: (i) a comparison, previously obtained, between Thurston geometries and Bianchi-Kantowski-Sachs metrics for such three-manifolds is here clarified and developed; and (ii) the implications of global inhomogeneity for locally homogeneous three-spaces of constant curvature are analyzed from an observational viewpoint.

Some integrals occurring in a topology change problem

In a paper presented a few years ago, de Lorenci et al. showed, in the context of canonical quantum cosmology, a model which allowed space topology changes. The purpose of this present work is to go a step further in that model, by performing some calculations only estimated there for several compact manifolds of constant negative curvature, such as the Weeks and Thurston spaces and the icosahedral hyperbolic space (Best space). ©2000 The American Physical Society.

Flicts, livro de artista

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma abordagem de gauge para corpos deformáveis

Pós-graduação em Física - IFT

Momento bossa nova: arte, cultura e representação sob os olhares da revista O Cruzeiro

Pós-graduação em História - FCLAS

A casa: estreitos laços entre literatura e arquitetura

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Ecos de Euclides: notas sobre a influência d Os Elementos a partir de algumas doutrinas filosóficas

Based on the study of some philosophical schools – such as the Cartesian Racionalism, the Empiricism of Hume and Kant’s Criticism – and of some brief remarks on Mathematics in ancient world – particularly the greek Mathematics – this paper intends to understand how the euclidean ideas have been taken for a long time as a model of how to geometrize and of what Mathematics is.

Concepções geométricas de percepção e representação da forma no desenho

A study on means of developing of perception and reading of the form by the conception and development of a Teaching Methodology of Drawing with emphasis in its early stages, its development and application in the initial stages of the Design process, dissecting it as a mental and physical process. We will be addressing the contributions of Geometry as a mean of simplification of the reading and materializing configurations as some pointers for addressing the Drawing teaching in the reported course.