Lie transformation groups in Riemannian geometry

• Applicant: Professor Dr. Gudlaugur Thorbergsson
• Subject Area: Mathematics
• Term: from 2003 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5406580

The area in wich we plan to work can be described as Lie transformation groups in Riemannian Geometry. The emphasis will be on isometric actions of compact Lie groups on Euclidean spaces and compact symmetric spaces, but more general Riemannian manifolds will also be considered. The goal is to understand the geometry and topology of the orbits of some of the most interesting classes of actions on Riemannian manifolds. The methods will be both geometric and algebraic.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1154: Global Differential Geometry