• Adiabatic limits of the Hermitian Yang-Mills equations on slicewise stable bundles 

    Mandolesi, André Luís Godinho (2002)
    A formal limit of the Hermitian Yang-Mills Equations on a SU(2) bundle over a product of two Riemann surfaces yields the Adiabatic Equations when the metric of the first surface is stretched ad infinitum. This thesis ...
  • Modified Ricci flow on a principal bundle 

    Young, Andrea Nicole, 1979- (2008-05)
    Let M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber. These equations ...