Sökning: "Hyperbolic Geometry"

Visar resultat 1 - 5 av 12 uppsatser innehållade orden Hyperbolic Geometry.

  1. 1. Projective Geometry in Kinematics

    Master-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Emil Eriksson; [2024]
    Nyckelord :;

    Sammanfattning : In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. LÄS MER

  3. 2. On Geometric Number

    Kandidat-uppsats, Uppsala universitet/Analys och partiella differentialekvationer

    Författare :Petter Gunnarsson; [2023]
    Nyckelord :clifford algebra; hypercomplex number; octonion;

    Sammanfattning : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. LÄS MER

  4. 3. Ricci flow of asymptotically hyperbolic metrics

    Master-uppsats, Uppsala universitet/Geometri och fysik

    Författare :Oliver Hjort; [2022]
    Nyckelord :;

    Sammanfattning : In this thesis we study the evolution of mass of asymptotically hyperbolic manifolds underRicci flow, following Balehowski and Woolgar [5]. Relying on Bahuaud [2] we assume shorttimeexistence of the flow, and derive the equations describing how the geometry of themanifold near infinity changes under the flow. LÄS MER

  5. 4. The 2+1 Lorentz Group and Its Representations

    Kandidat-uppsats, Stockholms universitet/Fysikum

    Författare :Klas Sjöstedt; [2020]
    Nyckelord :The Lorentz group; representation theory; anti-de Sitter space; relativity; Lorentzgruppen; representationsteori; anti-de Sitter-rum; relativitet;

    Sammanfattning : The Lorentz group is a symmetry group on Minkowski space, and as such is central to studying the geometry of this and related spaces. The group therefore shows up also from physical considerations, such as trying to formulate quantum physics in anti-de Sitter space. LÄS MER

  7. 5. Investigation on Positioning Techniques for Indoor Office Scenario

    Master-uppsats, Lunds universitet/Institutionen för elektro- och informationsteknik

    Författare :Yan Shu; Yujie Zhang; [2020]
    Nyckelord :Technology and Engineering;

    Sammanfattning : This master thesis aims to investigate downlink positioning techniques and improve fifth-generation (5G) cellular positioning performance in the indoor office scenario. In the thesis work, we target in the indoor office scenario because it is a typical deployment scenario standardized in 3GPP release 16. LÄS MER