Mathematical Sciences

Lund University

  • Title: Harmonic morphisms on homogeneous Hadamard manifolds
  • Description: In this thesis we investigate the existence of complex-valued harmonic morphisms on Lie groups and homogeneous Hadamard manifolds. The Lie groups that we are interested in have a particular decomposition of their Lie algebra. This decomposition allows us to define harmonic morphisms to Rn, n ≥ 2. Any homogeneous Hadamard manifold is isometric to a solvable Lie group S with a left-invariant metric. We give sufficient conditions for the Lie algebra of S to have a decomposition that allows us to define complex-valued harmonic morphisms.
  • Start Date: April 20, 2010
  • Finished Date: April 20, 2010
  • Supervisor: Sigmundur Gudmundsson
  • Student: Jonas Nordström
  • Report (358.6 KB)