Essays about: "Poincar es theorem"

Found 1 essay containing the words Poincar es theorem.

1. 1. On Poicarés Uniformization Theorem

   University essay from Matematiska institutionen

   Author : Gabriel Bartolini; [2006]
   Keywords : Hyperbolic plane; Fuchsian group; Riemann surface; uniformization; fundamental domain; Poincar es theorem;

   Abstract : A compact Riemann surface can be realized as a quotient space $\mathcal{U}/\Gamma$, where $\mathcal{U}$ is the sphere $\Sigma$, the euclidian plane $\mathbb{C}$ or the hyperbolic plane $\mathcal{H}$ and $\Gamma$ is a discrete group of automorphisms. This induces a covering $p:\mathcal{U}\rightarrow\mathcal{U}/\Gamma$. READ MORE