• Geometric reduction and the three body problem 

      Sydnes, Lars (Doktoravhandlinger ved NTNU, 1503-8181; 2012:211, Doctoral thesis, 2012)
      This dissertation investigates a particular reduction of the three body problem, using a combination of Riemannian geometry and geometric invariant theory of three body motions in Euclidean space. Our point of departure ...
    • Simple mechanical Systems with Symmetry 

      Sydnes, Lars (Master thesis, 2007)
      We go through the basic theory of simple mehcanical systems on Riemannain manifolds with symmetry, in an attempt to understand some of the main features of configuration space reduction. As a part of this, we will look at ...