Concept

Uniformization theorem

Related publications (22)

Variant and Invariant States for Chemical Reaction Systems

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Diogo Filipe Mateus Rodrigues

Models of open non-isothermal heterogeneous reaction systems can be quite complex as they include information regarding the reactions, the inlet and outlet flows, the transfer of species between phases and the transfer of energy. This paper builds on the c ...

Elsevier2015

Constructing reparameterization invariant metrics on spaces of plane curves

Martins Bruveris, Martin Bauer

Metrics on shape spaces are used to describe deformations that take one shape to another, and to define a distance between shapes. We study a family of metrics on the space of curves, which includes several recently proposed metrics, for which the metrics ...

Elsevier2014

Closing Large Hyperbolic 2g-gons

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

EPFL2012

Euler-Poincare Approaches to Nematodynamics

Tudor Ratiu, François Gay-Balmaz, Cesare Tronci

Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincar, reduction produces a unifying framework for various theories, including Ericksen-Leslie, Luhiller-Rey, and Eringen's micropolar theory. In particular, we sho ...

Springer Netherlands2012

Tailoring the time-dependent recovery of shape memory polymers

John Christopher Plummer, Charly David Azra

On application of heat, shape memory polymers (SMPs) are able to revert to a primary shape from a secondary shape induced by mechanical deformation. It may be desirable to induce shape recovery at controlled rates under quasi-isothermal conditions, e. g. i ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2012

Euler-Poincare Formulation Of Hybrid Plasma Models

Cesare Tronci

Three different hybrid Vlasov-fluid systems are derived by applying reduction by symmetry to Hamilton's variational principle. In particular, the discussion focuses on the Euler-Poincare formulation of three major hybrid MHD models, which are compared in t ...

2012

Sur la méthode de Buser-Silhol pour l'uniformisation des surfaces de Riemann hyperelliptiques

Grégoire Aubry

The Uniformization Theorem due to Koebe and Poincaré implies that every compact Riemann surface of genus greater or equal to 2 can be endowed with a metric of constant curvature – 1. On the other hand, a compact Riemann surface is a complex algebraic curve ...

EPFL2010

First case of strong gravitational lensing by a QSO: SDSS J0013+1523 at z=0.120

Frédéric Courbin, Georges Meylan, Malte Tewes, François Henri Ambroise Rérat

We present the first case of strong gravitational lensing by a QSO: SDSS J0013 + 1523 at z = 0.120. The discovery is the result of a systematic search for emission lines redshifted behind QSOs, among 22 298 spectra of the SDSS data release 7. Apart from th ...

2010

Fixed point free involutions on Riemann surfaces

Hugo Parlier

In this paper, involutions without fixed points on hyperbolic closed Riemann surface are discussed. For an orientable surface X of even genus with an arbitrary Riemannian metric d admitting an involution tau, it is known that min (p is an element of X) d(p ...

The Hebrew University Magnes Press, Springer2008

Some remarks on the uniformizing function in genus 2

Robert Silhol

The authors propose a numerical method for the uniformization of Riemann surfaces and algebraic curves in genus two with highly accurate results. Let

G

be a Fuchsian group acting on the unit disk

Bbb D

, and let

S = Bbb D / G

. It is well known that $S ...

Kluwer Academic Publishers, Springer2005

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