Differential Geometry: Proceedings of the Nordic Summer School held in Lyngby, Denmark, Jul. 29-Aug. 9, 1985 (Lecture Notes in Mathematics, 1263)

Annotation The Nordic Summer School 1985 presented to young researchers the mathematical aspects of the ongoing research stemming from the study of field theories in physics and the differential geometry of fibre bundles in mathematics. The volume includes papers, often with original lines of attack, on twistor methods for harmonic maps, the differential geometric aspects of Yang-Mills theory, complex differential geometry, metric differential geometry and partial differential equations in differential geometry. Most of the papers are of lasting value and provide a good introduction to their subject Quantum field theory: the bridge between mathematics and the physical world....Pages 1-12 Yang-Mills theory: The differential geometric side....Pages 13-54 Twistor methods for harmonic maps....Pages 55-96 Twistor methods....Pages 97-133 Partial differential equations in differential geometry....Pages 134-170 Metric differential geometri....Pages 171-227 Complex differential geometry....Pages 228-288