Essays about: "hyperbolic geometry"

Showing result 1 - 5 of 11 essays containing the words hyperbolic geometry.

  1. 1. Projective Geometry in Kinematics

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Emil Eriksson; [2024]
    Keywords : ;

    Abstract : 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. READ MORE

  3. 2. On Geometric Number

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Petter Gunnarsson; [2023]
    Keywords : clifford algebra; hypercomplex number; octonion;

    Abstract : 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. READ MORE

  4. 3. Ricci flow of asymptotically hyperbolic metrics

    University essay from Uppsala universitet/Geometri och fysik

    Author : Oliver Hjort; [2022]
    Keywords : ;

    Abstract : 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. READ MORE

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

    University essay from Stockholms universitet/Fysikum

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

    Abstract : 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. READ MORE

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

    University essay from Lunds universitet/Institutionen för elektro- och informationsteknik

    Author : Yan Shu; Yujie Zhang; [2020]
    Keywords : Technology and Engineering;

    Abstract : 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. READ MORE