Essays about: "Riemannian geometry"
Found 4 essays containing the words Riemannian geometry.
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1. General Relativity and Dynamical Universes
University essay from Uppsala universitet/Teoretisk fysikAbstract : The aim of this report is to explore different models of cosmology, depending on components as matter, radiation and dark energy. To be able to investigate the behaviour and age of these model universes, it is necessary to solve the Friedmann equation. READ MORE
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2. Shortest paths and geodesics in metric spaces
University essay from Institutionen för matematik och matematisk statistikAbstract : This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. READ MORE
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3. On the geometry of calibrated manifolds : with applications to electrodynamics
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : In this master thesis we study calibrated geometries, a family of Riemannian or Hermitian manifolds with an associated differential form, φ. We show that it isuseful to introduce the concept of proper calibrated manifolds, which are in asense calibrated manifolds where the geometry is derived from the calibration. READ MORE
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4. The Einstein Field Equations : on semi-Riemannian manifolds, and the Schwarzschild solution
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : Semi-Riemannian manifolds is a subject popular in physics, with applications particularly to modern gravitational theory and electrodynamics. Semi-Riemannian geometry is a branch of differential geometry, similar to Riemannian geometry. READ MORE
