Riemann Surface
Mostrando 1-12 de 16 artigos, teses e dissertações.
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1. Elementos da teoria de Teichmüller / Elements of the Teichmüller theory
Nesta dissertação estudamos as algumas ferramentas básicas relacionadas aos espaços de Teichmüller. Introduzimos o espaço de Teichmüller de gênero g >ou = 1, denotado por \ T IND. g\ . O objetivo principal é construir as coordenadas de Fenchel-Nielsen \ OMEGA IND. g\ : \ T IND. g\ \ SETA\ !\ R POT. 3g- 3\ IND +\ x \ R POT. 3g - 3\ para cada grafo c�
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 23/02/2012
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2. The "upwind" scheme to the conservation laws and their application in simulation of 2D and 3D incompressible laminar and turbulent flows with free surfaces / Um esquema "upwind" para leis de conservação e sua aplicação na simulação de escoamentos incompressíveis 2D e 3D laminares e turbulentos com superfícies livres
Althought the PDEs that model conservation laws and fluid dynamics problems are well established, their numerical solutions have presented a continuing challenge. In particular, there are two challenges associated with the computation and the understanding of these problems, namely, formation of shocks and turbulence. Both challenges can be attributed to the
Publicado em: 2009
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3. A limit-method for solving period problems on minimal surfaces / Metodo limite para solução de problemas de periodos em superficies minimas
In this work we present the study and construction of minimal surfaces through an exclusive method. In 1762, Lagrange introduced the Minimal Surfaces Diferential Equation through the Calculus of Variations, and today the theory of such surfaces builds up an active and broad research area. We obtain new families of minimal surfaces based upon the Reverse Cons
Publicado em: 2007
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4. Arithmetic fuchsian groups identified in quaternion orders for the construction of signal constellations / Grupos fuchsianos aritmeticos identificados em ordens dos quaternios para construção de constelações de sinais
Within the context of digital communications system in homogeneous space in particular, in hyperbolic spaces, it is necessary to establish systematic procedure for the construction of lattices O ; as the basic entity for construction of eometrically uniforms signal constellations. By this procedure we identify the algebraic and geometric structures to constr
Publicado em: 2007
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5. Nahm transform of Higgs bundless on Riemann surface of genus at least two / Transformada de Nahm de fibrados de Higgs sobre superficies de Riemann de genero ao menos dois
We construct the Nahm transform of a stable, degree-zero Higgs bundle on a Riemann surface of genus at least 2. Atiyah-Singer?s index theorem is the basic tool employed, along with a vanishing theorem which is due to the stability hypothesis. Our main result is that the transformed bundle is hyperholomorphic and without flat factors. This not only recovers t
Publicado em: 2006
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6. Minimal sufaces foliated by circunferences / Superficies minimas folheadas por circunferencias
Minimal surfaces are known to be the ones with mean curvature zero. Classical exampIes are the catenoid, helicoid and the Scherk surface. Historically, they were associated with the property of minimizing area. However, they can even maximize it localIy for cases of normal variation which include the boundary. For fixed boundary, we shalI analyse when they r
Publicado em: 2005
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7. Controle multivariavel : superficies de Riemann, diagrama de ganho e analise no espaço de frequencias
This work deals with monovariable and multivariablecontrol systems analysisthrough Riemann surfaces. It is shown that a complete Riemann surface representation has dimension four, and new representations are presented in two-dimensional and three-dimensional plots. Generalizations ofthe existing representations, like root-Iocus, gain plots, Nyquist, Bode and
Publicado em: 1997
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8. THETA CONSTANTS, MODULI, AND COMPACT RIEMANN SURFACES
One of the classical tools for the study of moduli of compact Riemann surfaces is the Riemann theta function. Preliminary results were announced earlier1 which established relations between two kinds of theta constants on a compact Riemann surface of genus 2. In this note we generalize the results there obtained. The main theorem is as follows:
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9. TWO KINDS OF THETA CONSTANTS AND PERIOD RELATIONS ON A RIEMANN SURFACE
It was recognized in Riemann's work more than one hundred years ago and proved recently by Rauch (cf. Bull. Am. Math. Soc., 71, 1-39 (1965) that the g(g + 1)/2 unnormalized periods of the normal differentials of first kind on a compact Riemann surface S of genus g ≥ 2 with respect to a canonical homology basis are holomorphic functions of 3g - 3 complex va
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10. STABLE BUNDLES AND UNITARY BUNDLES ON A COMPACT RIEMANN SURFACE
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11. RELATIONS BETWEEN TWO KINDS OF THETA CONSTANTS ON A RIEMANN SURFACE
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12. Holomorphic curves in surfaces of general type.
This note answers some questions on holomorphic curves and their distribution in an algebraic surface of positive index. More specifically, we exploit the existence of natural negatively curved "pseudo-Finsler" metrics on a surface S of general type whose Chern numbers satisfy c(2)1>2c2 to show that a holomorphic map of a Riemann surface to S whose image is