Search for dissertations about: "hyperbolic manifolds"

Showing result 1 - 5 of 9 swedish dissertations containing the words hyperbolic manifolds.

  2. 1. The Einstein constraint equations on asymptotically hyperbolic manifolds

    Author : Anna Sakovich; Mattias Dahl; Lars Andersson; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : .... READ MORE

  4. 2. A study of asymptotically hyperbolic manifolds in mathematical relativity

    Author : Anna Sakovich; Mattias Dahl; James Isenberg; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis consists of ve papers where certain problems arising in mathematical relativity are studied in the context of asymptotically hyperbolic manifolds.In Paper A we deal with constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds. READ MORE

  5. 3. On the Uniform Equidistribution of Closed Horospheres in Hyperbolic Manifolds

    Author : Anders Södergren; Andreas Strömbergsson; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : We prove equidistribution results for (pieces of) closed horospheres in cofinite hyperbolic manifolds of dimension n+1, using spectral methods. This extends earlier results by Hejhal [Hej2] and Str¨ombergsson [St1] in dimension 2... READ MORE

  6. 4. Asymptotic Problems on Homogeneous Spaces

    Author : Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. READ MORE

  7. 5. Computer-aided Computation of Abelian integrals and Robust Normal Forms

    Author : Tomas Johnson; Warwick Tucker; Lars-Erik Persson; John H. Hubbard; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ordinary differential equations; parameter estimation; planar Hamiltonian systems; bifurcation theory; Abelian integrals; limit cycles; normal forms; hyperbolic fixed points; numerical integration; invariant manifolds; interval analysis. 2000 Mathematics Subject Classification. 34A60; 34C07; 34C20; 37D10; 37G15; 37M20; 37M99; 65G20; 65L09; 65L70.; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. READ MORE