Hyperbolic Spaces
Mostrando 1-10 de 10 artigos, teses e dissertações.
-
1. Área e discretude de representações / Area and discreteness of representations
Primeiramente, apresentamos uma introdução à geometria hiperbólica plana que pode ser útil, inclusive, para um principiante. A seguir, utilizando o conceito de "terremoto simples", descrevemos explicitamente, em termos de algumas coordenadas naturais, o espaço de Teichmüller T Hn de superfícies hiperelípticas. Esta descrição resulta simples: T Hn
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 01/07/2010
-
2. Isometric embeddings of the hyperbolic plane in Euclidean spaces / Mergulhos isométricos do plano hiperbólico em espaços Euclidianos
In this dissertation we present analytic expressions for isometric embeddings of hyperbolic plane (H2; ds) with Riemannian metric ds2 = dx2 + cosh2 (x) dy2 in Euclidean spaces R6 and S8 R9. Besides isometric embeddings, we present analytic expressions for isometries between the Euclidean models of the Poincaré disk, Upper Half-Plane and the model (H; ds) ci
Publicado em: 2009
-
3. Superfícies Mínimas em H3 e H2 x R / Minimal surfaces in H3 and H2 x R
In this work we study some results from the article of Mercuri, F., Piu, P., Montaldo, S; Weierstrass Representation Formula for Minimal Surfaces in H3 and H2 x R. Therefore, we do a study of the minimal surfaces simply connected in three-dimensional Riemaniann manifold. Furthermore, searching for to determine the necessary conditions to find minimal surface
Publicado em: 2008
-
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
-
5. Construções de constelações de sinais geometricamente uniformes hiperbólicas / Construct hyperbolic geometrically uniform signal constellations
O presente trabalho tem como meta principal construir constelações de sinais geometricamente uniformes no plano hiperbólico, visando considerá-las como alfabeto para geração de códigos de espaço de sinais, em particular os códigos de classes laterais generalizados. Para estabelecer estas constelações foi escolhido um conjunto de sinais geometricam
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 09/06/2005
-
6. Casimir effect for differential forms in real compact hyperbolic spaces
We calculate the Casimir energy associated with abelian gauge fields in real compact hyperbolic spaces. The cosmological applications of the vacuum energies are briefly considered.
Brazilian Journal of Physics. Publicado em: 2005-12
-
7. Geometrically uniform hyperbolic codes
In this paper we generalize the concept of geometrically uniform codes, formerly employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of generalized coset codes through the concept of G-linear codes.
Computational & Applied Mathematics. Publicado em: 2005-08
-
8. Coordenadas Fricke e empacotamentos hiperbolicos de discos
This work searches elements to determine the packing density of spheres defined by lattices in the hyperbolic plane. We consider the teichmüller space Tg of all closed compacts oriented surfaces of genus 9 ~ 2, which has the hyperbolic plane as universal covering rienmannian surface. It is known that the system of Fricke coordinates in Tg associates each su
Publicado em: 2005
-
9. Thermodynamics of abelian forms in real compact hyperbolic spaces
We analyze gauge theories based on abelian p-forms in real compact hyperbolic manifolds. The explicit thermodynamic functions associated with skew-symmetric tensor fields are obtained via zeta-function regularization and the trace tensor kernel formula. Thermodynamic quantities in the high-temperature expansions are calculated and the entropy/energy ratios a
Brazilian Journal of Physics. Publicado em: 2004-09
-
10. Algebraic K-theory of spaces stratified fibered over hyperbolic orbifolds
Among other results, we rationally calculate the algebraic K-theory of any discrete cocompact subgroup of a Lie group G, where G is either O(n, 1), U(n, 1), Sp(n, 1), or F4, in terms of the homology of the double coset space Γ\G/K, where K is a maximal cocompact subgroup of G. We obtain the formula Kn(ZΓ) [unk] [unk] ≅ [unk]i=0∞Hi(Γ\G/K; [unk]n-i), wh